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Finding the Third Proportional to 95,149 and 204,650

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Solution

The third proportional to 95,149 and 204,650 is: 440,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,149 : 204,650 = 204,650 : x
  2. Step 2: Convert to fraction form
    95,149/204,650 = 204,650/x
  3. Step 3: Cross multiply
    95,149x = 204,650 × 204,650
  4. Step 4: Simplify right side
    95,149x = 41,881,622,500
  5. Step 5: Solve for x
    x = 41,881,622,500/95,149
  6. Step 6: Final answer
    x = 440,168.81

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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.