How did the united states administer its new found territories ?

In many cases, the US would set up "puppet governments" to administer its new found territories, since many of these territories--such as Puerto Rico and the Philippines--were too far away for direct governance. 

“larger states wanted congressional representation based on population, while smaller states wanted equal representation. they met in the middle. larger states wanted congressional representation based on population, while smaller states wanted equal representation.” i hope this information you.