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Finding the Third Proportional to 95,349 and 205,686

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Solution

The third proportional to 95,349 and 205,686 is: 443,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,349 : 205,686 = 205,686 : x
  2. Step 2: Convert to fraction form
    95,349/205,686 = 205,686/x
  3. Step 3: Cross multiply
    95,349x = 205,686 × 205,686
  4. Step 4: Simplify right side
    95,349x = 42,306,730,596
  5. Step 5: Solve for x
    x = 42,306,730,596/95,349
  6. Step 6: Final answer
    x = 443,703.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.