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Finding the Third Proportional to 83,468 and 195,493

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Solution

The third proportional to 83,468 and 195,493 is: 457,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,468 : 195,493 = 195,493 : x
  2. Step 2: Convert to fraction form
    83,468/195,493 = 195,493/x
  3. Step 3: Cross multiply
    83,468x = 195,493 × 195,493
  4. Step 4: Simplify right side
    83,468x = 38,217,513,049
  5. Step 5: Solve for x
    x = 38,217,513,049/83,468
  6. Step 6: Final answer
    x = 457,870.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.