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Finding the Third Proportional to 59,160,704 and 129,209,040

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Solution

The third proportional to 59,160,704 and 129,209,040 is: 282,197,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,160,704 : 129,209,040 = 129,209,040 : x
  2. Step 2: Convert to fraction form
    59,160,704/129,209,040 = 129,209,040/x
  3. Step 3: Cross multiply
    59,160,704x = 129,209,040 × 129,209,040
  4. Step 4: Simplify right side
    59,160,704x = 16,694,976,017,721,600
  5. Step 5: Solve for x
    x = 16,694,976,017,721,600/59,160,704
  6. Step 6: Final answer
    x = 282,197,047.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.