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Finding the Third Proportional to 95,452 and 206,636

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Solution

The third proportional to 95,452 and 206,636 is: 447,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,452 : 206,636 = 206,636 : x
  2. Step 2: Convert to fraction form
    95,452/206,636 = 206,636/x
  3. Step 3: Cross multiply
    95,452x = 206,636 × 206,636
  4. Step 4: Simplify right side
    95,452x = 42,698,436,496
  5. Step 5: Solve for x
    x = 42,698,436,496/95,452
  6. Step 6: Final answer
    x = 447,328.88

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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.