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Finding the Third Proportional to 95,494.22 and 202,371.89

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Solution

The third proportional to 95,494.22 and 202,371.89 is: 428,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,494.22 : 202,371.89 = 202,371.89 : x
  2. Step 2: Convert to fraction form
    95,494.22/202,371.89 = 202,371.89/x
  3. Step 3: Cross multiply
    95,494.22x = 202,371.89 × 202,371.89
  4. Step 4: Simplify right side
    95,494.22x = 40,954,382,115.14
  5. Step 5: Solve for x
    x = 40,954,382,115.14/95,494.22
  6. Step 6: Final answer
    x = 428,867.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.