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Finding the Third Proportional to 95,785.13 and 208,150.13

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Solution

The third proportional to 95,785.13 and 208,150.13 is: 452,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,785.13 : 208,150.13 = 208,150.13 : x
  2. Step 2: Convert to fraction form
    95,785.13/208,150.13 = 208,150.13/x
  3. Step 3: Cross multiply
    95,785.13x = 208,150.13 × 208,150.13
  4. Step 4: Simplify right side
    95,785.13x = 43,326,474,537.52
  5. Step 5: Solve for x
    x = 43,326,474,537.52/95,785.13
  6. Step 6: Final answer
    x = 452,329.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.