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Finding the Third Proportional to 92,471 and 198,976

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Solution

The third proportional to 92,471 and 198,976 is: 428,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,471 : 198,976 = 198,976 : x
  2. Step 2: Convert to fraction form
    92,471/198,976 = 198,976/x
  3. Step 3: Cross multiply
    92,471x = 198,976 × 198,976
  4. Step 4: Simplify right side
    92,471x = 39,591,448,576
  5. Step 5: Solve for x
    x = 39,591,448,576/92,471
  6. Step 6: Final answer
    x = 428,149.89

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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.