なくて済む/ないで済む => get by without doing ~ N2
を[経「へ」]て => After A N1
Time, Situation
~をたて(~を経て)      => through; after; via N1
ずに済む => get by without doing ~ N2
その結果 => as a result of; after ~ N3
て済む => sufficient by; no problem to; resolve by ~ N3
果たして => as was expected; sure enough; really; actually ~ N2
その[結果「けっか」] => Because of A (in the past), B N3
Reason, Result, Response