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Finding the Third Proportional to 95,357 and 209,757

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Solution

The third proportional to 95,357 and 209,757 is: 461,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,357 : 209,757 = 209,757 : x
  2. Step 2: Convert to fraction form
    95,357/209,757 = 209,757/x
  3. Step 3: Cross multiply
    95,357x = 209,757 × 209,757
  4. Step 4: Simplify right side
    95,357x = 43,997,999,049
  5. Step 5: Solve for x
    x = 43,997,999,049/95,357
  6. Step 6: Final answer
    x = 461,402.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.