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Finding the Third Proportional to 95,032 and 204,103

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Solution

The third proportional to 95,032 and 204,103 is: 438,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,032 : 204,103 = 204,103 : x
  2. Step 2: Convert to fraction form
    95,032/204,103 = 204,103/x
  3. Step 3: Cross multiply
    95,032x = 204,103 × 204,103
  4. Step 4: Simplify right side
    95,032x = 41,658,034,609
  5. Step 5: Solve for x
    x = 41,658,034,609/95,032
  6. Step 6: Final answer
    x = 438,357.97

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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.