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Finding the Third Proportional to 81,808,908.75 and 123,561,724.50

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Solution

The third proportional to 81,808,908.75 and 123,561,724.50 is: 186,623,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808,908.75 : 123,561,724.50 = 123,561,724.50 : x
  2. Step 2: Convert to fraction form
    81,808,908.75/123,561,724.50 = 123,561,724.50/x
  3. Step 3: Cross multiply
    81,808,908.75x = 123,561,724.50 × 123,561,724.50
  4. Step 4: Simplify right side
    81,808,908.75x = 15,267,499,761,413,900
  5. Step 5: Solve for x
    x = 15,267,499,761,413,900/81,808,908.75
  6. Step 6: Final answer
    x = 186,623,926.35

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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.