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Finding the Third Proportional to 95,251.56 and 204,840.13

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Solution

The third proportional to 95,251.56 and 204,840.13 is: 440,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,251.56 : 204,840.13 = 204,840.13 : x
  2. Step 2: Convert to fraction form
    95,251.56/204,840.13 = 204,840.13/x
  3. Step 3: Cross multiply
    95,251.56x = 204,840.13 × 204,840.13
  4. Step 4: Simplify right side
    95,251.56x = 41,959,476,810.02
  5. Step 5: Solve for x
    x = 41,959,476,810.02/95,251.56
  6. Step 6: Final answer
    x = 440,512.22

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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.