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Finding the Third Proportional to 95,251 and 204,839

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Solution

The third proportional to 95,251 and 204,839 is: 440,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,251 : 204,839 = 204,839 : x
  2. Step 2: Convert to fraction form
    95,251/204,839 = 204,839/x
  3. Step 3: Cross multiply
    95,251x = 204,839 × 204,839
  4. Step 4: Simplify right side
    95,251x = 41,959,015,921
  5. Step 5: Solve for x
    x = 41,959,015,921/95,251
  6. Step 6: Final answer
    x = 440,509.98

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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.