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Finding the Third Proportional to 91,691,520 and 137,174,200

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Solution

The third proportional to 91,691,520 and 137,174,200 is: 205,218,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,691,520 : 137,174,200 = 137,174,200 : x
  2. Step 2: Convert to fraction form
    91,691,520/137,174,200 = 137,174,200/x
  3. Step 3: Cross multiply
    91,691,520x = 137,174,200 × 137,174,200
  4. Step 4: Simplify right side
    91,691,520x = 18,816,761,145,640,000
  5. Step 5: Solve for x
    x = 18,816,761,145,640,000/91,691,520
  6. Step 6: Final answer
    x = 205,218,117.72

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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.