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Finding the Third Proportional to 87,025,428 and 130,538,142

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Solution

The third proportional to 87,025,428 and 130,538,142 is: 195,807,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,025,428 : 130,538,142 = 130,538,142 : x
  2. Step 2: Convert to fraction form
    87,025,428/130,538,142 = 130,538,142/x
  3. Step 3: Cross multiply
    87,025,428x = 130,538,142 × 130,538,142
  4. Step 4: Simplify right side
    87,025,428x = 17,040,206,516,812,164
  5. Step 5: Solve for x
    x = 17,040,206,516,812,164/87,025,428
  6. Step 6: Final answer
    x = 195,807,213

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.