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Finding the Third Proportional to 95,288 and 204,931

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Solution

The third proportional to 95,288 and 204,931 is: 440,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,288 : 204,931 = 204,931 : x
  2. Step 2: Convert to fraction form
    95,288/204,931 = 204,931/x
  3. Step 3: Cross multiply
    95,288x = 204,931 × 204,931
  4. Step 4: Simplify right side
    95,288x = 41,996,714,761
  5. Step 5: Solve for x
    x = 41,996,714,761/95,288
  6. Step 6: Final answer
    x = 440,734.56

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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.