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Finding the Third Proportional to 81,808,910.25 and 123,561,726.75

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Solution

The third proportional to 81,808,910.25 and 123,561,726.75 is: 186,623,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808,910.25 : 123,561,726.75 = 123,561,726.75 : x
  2. Step 2: Convert to fraction form
    81,808,910.25/123,561,726.75 = 123,561,726.75/x
  3. Step 3: Cross multiply
    81,808,910.25x = 123,561,726.75 × 123,561,726.75
  4. Step 4: Simplify right side
    81,808,910.25x = 15,267,500,317,441,666
  5. Step 5: Solve for x
    x = 15,267,500,317,441,666/81,808,910.25
  6. Step 6: Final answer
    x = 186,623,929.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.