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Finding the Third Proportional to 95,752.13 and 208,286.44

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Solution

The third proportional to 95,752.13 and 208,286.44 is: 453,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,752.13 : 208,286.44 = 208,286.44 : x
  2. Step 2: Convert to fraction form
    95,752.13/208,286.44 = 208,286.44/x
  3. Step 3: Cross multiply
    95,752.13x = 208,286.44 × 208,286.44
  4. Step 4: Simplify right side
    95,752.13x = 43,383,240,046.44
  5. Step 5: Solve for x
    x = 43,383,240,046.44/95,752.13
  6. Step 6: Final answer
    x = 453,078.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.