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Finding the Third Proportional to 81,498,514 and 123,297,691

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Solution

The third proportional to 81,498,514 and 123,297,691 is: 186,534,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,498,514 : 123,297,691 = 123,297,691 : x
  2. Step 2: Convert to fraction form
    81,498,514/123,297,691 = 123,297,691/x
  3. Step 3: Cross multiply
    81,498,514x = 123,297,691 × 123,297,691
  4. Step 4: Simplify right side
    81,498,514x = 15,202,320,605,931,480
  5. Step 5: Solve for x
    x = 15,202,320,605,931,480/81,498,514
  6. Step 6: Final answer
    x = 186,534,942.29

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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.