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Finding the Third Proportional to 95,778 and 204,588

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Solution

The third proportional to 95,778 and 204,588 is: 437,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,778 : 204,588 = 204,588 : x
  2. Step 2: Convert to fraction form
    95,778/204,588 = 204,588/x
  3. Step 3: Cross multiply
    95,778x = 204,588 × 204,588
  4. Step 4: Simplify right side
    95,778x = 41,856,249,744
  5. Step 5: Solve for x
    x = 41,856,249,744/95,778
  6. Step 6: Final answer
    x = 437,013.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.