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Finding the Third Proportional to 91,691,522 and 137,174,203

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Solution

The third proportional to 91,691,522 and 137,174,203 is: 205,218,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,691,522 : 137,174,203 = 137,174,203 : x
  2. Step 2: Convert to fraction form
    91,691,522/137,174,203 = 137,174,203/x
  3. Step 3: Cross multiply
    91,691,522x = 137,174,203 × 137,174,203
  4. Step 4: Simplify right side
    91,691,522x = 18,816,761,968,685,208
  5. Step 5: Solve for x
    x = 18,816,761,968,685,208/91,691,522
  6. Step 6: Final answer
    x = 205,218,122.22

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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.