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Finding the Third Proportional to 95,555 and 204,502

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Solution

The third proportional to 95,555 and 204,502 is: 437,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,555 : 204,502 = 204,502 : x
  2. Step 2: Convert to fraction form
    95,555/204,502 = 204,502/x
  3. Step 3: Cross multiply
    95,555x = 204,502 × 204,502
  4. Step 4: Simplify right side
    95,555x = 41,821,068,004
  5. Step 5: Solve for x
    x = 41,821,068,004/95,555
  6. Step 6: Final answer
    x = 437,664.88

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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.