Buying suggestion - external Wi-Fi repeater

100M is quite far. 100M is the furthest you can run ethernet. And its potentially to far for a single standard extenders. 

Your goal of 100-200 might not make it because I'm not sure you'd do it with a single extender. 

And the problem with standard extenders is that they loose bandwidth for each hop. Reason why is they have to recieve and then retransmit data. And they can't do both at once so it looses 50% of the bandwidth. Plus it increases latency. And then if you're needing more than 1, by the time it gets to the 2nd extender, its only putting out less than 25% of what the original router was at. 

This is mitigated a bit with triband extenders as they reserve a band just for router-----extender communication. 

so if you're wanting to preserve speeds AND reach that far, you'd probably need a triband extender or 2 to bridge the distance.  You'd still take a little speed hit and some latency hit but it potentially could work.

Your other options?

1. Orbi triband (not the dual band orbi). Orbi is a triband system that uses a dedicated wired or wireless backhaul. and allows daisy chaining. You'd still take a little hit but much less than standard extenders. And you can add satellites as needed for addional coverage. 

https://www.netgear.com/orbi/

2. A point to point system like netgear airbridge. https://www.netgear.com/business/products/wireless/wireless-airbridge/wbc502.aspx