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Finding the Third Proportional to 95,204 and 206,794

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Solution

The third proportional to 95,204 and 206,794 is: 449,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,204 : 206,794 = 206,794 : x
  2. Step 2: Convert to fraction form
    95,204/206,794 = 206,794/x
  3. Step 3: Cross multiply
    95,204x = 206,794 × 206,794
  4. Step 4: Simplify right side
    95,204x = 42,763,758,436
  5. Step 5: Solve for x
    x = 42,763,758,436/95,204
  6. Step 6: Final answer
    x = 449,180.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.