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Finding the Third Proportional to 117,262,743 and 257,650,824

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Solution

The third proportional to 117,262,743 and 257,650,824 is: 566,112,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,262,743 : 257,650,824 = 257,650,824 : x
  2. Step 2: Convert to fraction form
    117,262,743/257,650,824 = 257,650,824/x
  3. Step 3: Cross multiply
    117,262,743x = 257,650,824 × 257,650,824
  4. Step 4: Simplify right side
    117,262,743x = 66,383,947,107,878,976
  5. Step 5: Solve for x
    x = 66,383,947,107,878,976/117,262,743
  6. Step 6: Final answer
    x = 566,112,862.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.