From the OP: "how many inches will a 130 grain Sierra bullet traveling at 3,000 FPS at the muzzle drop from 100 yards to 200 yards?"How accurate is your rifle?
How big is your bullseye?
Impossible questions to answer without more information.
Dude, this is a simple JBM question that doesn't take any of your hypothetical variables into account.
The answer is three inches.