go through with vs put through

go through with

verb
  • To carry out (something planned or promised); to proceed with or continue with. 

put through

verb
  • Used other than figuratively or idiomatically: see put, through. 

  • To pass the ball to (someone) giving them a one-on-one scoring opportunity. 

  • To smash (e.g. a window) so as to create an opening. 

  • To connect (a telephone caller with intended callee). 

  • to cause to endure 

noun
  • A transaction by a broker outside the stock exchange, bringing a buyer and seller together. 

How often have the words go through with and put through occurred in a corpus of books? (source: Google Ngram Viewer )