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Finding the Third Proportional to 95,950 and 209,996

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Solution

The third proportional to 95,950 and 209,996 is: 459,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,950 : 209,996 = 209,996 : x
  2. Step 2: Convert to fraction form
    95,950/209,996 = 209,996/x
  3. Step 3: Cross multiply
    95,950x = 209,996 × 209,996
  4. Step 4: Simplify right side
    95,950x = 44,098,320,016
  5. Step 5: Solve for x
    x = 44,098,320,016/95,950
  6. Step 6: Final answer
    x = 459,596.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.