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Finding the Third Proportional to 90,952 and 196,387

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Solution

The third proportional to 90,952 and 196,387 is: 424,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,952 : 196,387 = 196,387 : x
  2. Step 2: Convert to fraction form
    90,952/196,387 = 196,387/x
  3. Step 3: Cross multiply
    90,952x = 196,387 × 196,387
  4. Step 4: Simplify right side
    90,952x = 38,567,853,769
  5. Step 5: Solve for x
    x = 38,567,853,769/90,952
  6. Step 6: Final answer
    x = 424,046.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.