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Finding the Third Proportional to 123,498,573.75 and 164,642,402.25

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Solution

The third proportional to 123,498,573.75 and 164,642,402.25 is: 219,493,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,498,573.75 : 164,642,402.25 = 164,642,402.25 : x
  2. Step 2: Convert to fraction form
    123,498,573.75/164,642,402.25 = 164,642,402.25/x
  3. Step 3: Cross multiply
    123,498,573.75x = 164,642,402.25 × 164,642,402.25
  4. Step 4: Simplify right side
    123,498,573.75x = 27,107,120,618,650,804
  5. Step 5: Solve for x
    x = 27,107,120,618,650,804/123,498,573.75
  6. Step 6: Final answer
    x = 219,493,390.05

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.