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Finding the Third Proportional to 95,636 and 204,286

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Solution

The third proportional to 95,636 and 204,286 is: 436,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,636 : 204,286 = 204,286 : x
  2. Step 2: Convert to fraction form
    95,636/204,286 = 204,286/x
  3. Step 3: Cross multiply
    95,636x = 204,286 × 204,286
  4. Step 4: Simplify right side
    95,636x = 41,732,769,796
  5. Step 5: Solve for x
    x = 41,732,769,796/95,636
  6. Step 6: Final answer
    x = 436,370.93

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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.