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Finding the Third Proportional to 87,349,314 and 137,013,432

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Solution

The third proportional to 87,349,314 and 137,013,432 is: 214,915,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,349,314 : 137,013,432 = 137,013,432 : x
  2. Step 2: Convert to fraction form
    87,349,314/137,013,432 = 137,013,432/x
  3. Step 3: Cross multiply
    87,349,314x = 137,013,432 × 137,013,432
  4. Step 4: Simplify right side
    87,349,314x = 18,772,680,548,418,624
  5. Step 5: Solve for x
    x = 18,772,680,548,418,624/87,349,314
  6. Step 6: Final answer
    x = 214,915,031.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.