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Finding the Third Proportional to 95,257.13 and 203,646.38

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Solution

The third proportional to 95,257.13 and 203,646.38 is: 435,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,257.13 : 203,646.38 = 203,646.38 : x
  2. Step 2: Convert to fraction form
    95,257.13/203,646.38 = 203,646.38/x
  3. Step 3: Cross multiply
    95,257.13x = 203,646.38 × 203,646.38
  4. Step 4: Simplify right side
    95,257.13x = 41,471,846,050.64
  5. Step 5: Solve for x
    x = 41,471,846,050.64/95,257.13
  6. Step 6: Final answer
    x = 435,367.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.