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Finding the Third Proportional to 101,792 and 218,632

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Solution

The third proportional to 101,792 and 218,632 is: 469,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,792 : 218,632 = 218,632 : x
  2. Step 2: Convert to fraction form
    101,792/218,632 = 218,632/x
  3. Step 3: Cross multiply
    101,792x = 218,632 × 218,632
  4. Step 4: Simplify right side
    101,792x = 47,799,951,424
  5. Step 5: Solve for x
    x = 47,799,951,424/101,792
  6. Step 6: Final answer
    x = 469,584.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.