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Finding the Third Proportional to 95,247 and 204,831

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Solution

The third proportional to 95,247 and 204,831 is: 440,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,247 : 204,831 = 204,831 : x
  2. Step 2: Convert to fraction form
    95,247/204,831 = 204,831/x
  3. Step 3: Cross multiply
    95,247x = 204,831 × 204,831
  4. Step 4: Simplify right side
    95,247x = 41,955,738,561
  5. Step 5: Solve for x
    x = 41,955,738,561/95,247
  6. Step 6: Final answer
    x = 440,494.07

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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.