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Finding the Third Proportional to 95,524.31 and 200,343.38

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Solution

The third proportional to 95,524.31 and 200,343.38 is: 420,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,524.31 : 200,343.38 = 200,343.38 : x
  2. Step 2: Convert to fraction form
    95,524.31/200,343.38 = 200,343.38/x
  3. Step 3: Cross multiply
    95,524.31x = 200,343.38 × 200,343.38
  4. Step 4: Simplify right side
    95,524.31x = 40,137,467,906.39
  5. Step 5: Solve for x
    x = 40,137,467,906.39/95,524.31
  6. Step 6: Final answer
    x = 420,180.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.