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Finding the Third Proportional to 95,406 and 205,644

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Solution

The third proportional to 95,406 and 205,644 is: 443,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,406 : 205,644 = 205,644 : x
  2. Step 2: Convert to fraction form
    95,406/205,644 = 205,644/x
  3. Step 3: Cross multiply
    95,406x = 205,644 × 205,644
  4. Step 4: Simplify right side
    95,406x = 42,289,454,736
  5. Step 5: Solve for x
    x = 42,289,454,736/95,406
  6. Step 6: Final answer
    x = 443,257.81

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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.