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Finding the Third Proportional to 95,252.25 and 204,841.25

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Solution

The third proportional to 95,252.25 and 204,841.25 is: 440,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,252.25 : 204,841.25 = 204,841.25 : x
  2. Step 2: Convert to fraction form
    95,252.25/204,841.25 = 204,841.25/x
  3. Step 3: Cross multiply
    95,252.25x = 204,841.25 × 204,841.25
  4. Step 4: Simplify right side
    95,252.25x = 41,959,937,701.56
  5. Step 5: Solve for x
    x = 41,959,937,701.56/95,252.25
  6. Step 6: Final answer
    x = 440,513.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.