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Finding the Third Proportional to 95,031 and 204,101

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Solution

The third proportional to 95,031 and 204,101 is: 438,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,031 : 204,101 = 204,101 : x
  2. Step 2: Convert to fraction form
    95,031/204,101 = 204,101/x
  3. Step 3: Cross multiply
    95,031x = 204,101 × 204,101
  4. Step 4: Simplify right side
    95,031x = 41,657,218,201
  5. Step 5: Solve for x
    x = 41,657,218,201/95,031
  6. Step 6: Final answer
    x = 438,353.99

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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.