I am pretty good at balancing oxidation reduction problems, but I can't do this one:
HIO3 + FeI2 + HCL -> FeCl3 + ICl + HOH
5HIO3 + 4FeI2 + 25HCl -> 4FeCl3 + 13ICl + 15HOH
I separated the three redox equations, added the two oxidation reactions together, then balanced that net equation with the reduction (all ionic of course), then added the spectator ions.
Check it to make sure it is correct.