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Finding the Third Proportional to 95,933 and 205,962

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Solution

The third proportional to 95,933 and 205,962 is: 442,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,933 : 205,962 = 205,962 : x
  2. Step 2: Convert to fraction form
    95,933/205,962 = 205,962/x
  3. Step 3: Cross multiply
    95,933x = 205,962 × 205,962
  4. Step 4: Simplify right side
    95,933x = 42,420,345,444
  5. Step 5: Solve for x
    x = 42,420,345,444/95,933
  6. Step 6: Final answer
    x = 442,187.21

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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.