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Finding the Third Proportional to 177,647,499 and 396,141,912

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Solution

The third proportional to 177,647,499 and 396,141,912 is: 883,369,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,647,499 : 396,141,912 = 396,141,912 : x
  2. Step 2: Convert to fraction form
    177,647,499/396,141,912 = 396,141,912/x
  3. Step 3: Cross multiply
    177,647,499x = 396,141,912 × 396,141,912
  4. Step 4: Simplify right side
    177,647,499x = 156,928,414,443,015,744
  5. Step 5: Solve for x
    x = 156,928,414,443,015,744/177,647,499
  6. Step 6: Final answer
    x = 883,369,680.55

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.