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Finding the Third Proportional to 146,573,742.38 and 315,666,892.13

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Solution

The third proportional to 146,573,742.38 and 315,666,892.13 is: 679,832,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,573,742.38 : 315,666,892.13 = 315,666,892.13 : x
  2. Step 2: Convert to fraction form
    146,573,742.38/315,666,892.13 = 315,666,892.13/x
  3. Step 3: Cross multiply
    146,573,742.38x = 315,666,892.13 × 315,666,892.13
  4. Step 4: Simplify right side
    146,573,742.38x = 99,645,586,783,856,384
  5. Step 5: Solve for x
    x = 99,645,586,783,856,384/146,573,742.38
  6. Step 6: Final answer
    x = 679,832,452.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.