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Finding the Third Proportional to 96,343.31 and 203,073.19

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Solution

The third proportional to 96,343.31 and 203,073.19 is: 428,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,343.31 : 203,073.19 = 203,073.19 : x
  2. Step 2: Convert to fraction form
    96,343.31/203,073.19 = 203,073.19/x
  3. Step 3: Cross multiply
    96,343.31x = 203,073.19 × 203,073.19
  4. Step 4: Simplify right side
    96,343.31x = 41,238,719,481.41
  5. Step 5: Solve for x
    x = 41,238,719,481.41/96,343.31
  6. Step 6: Final answer
    x = 428,039.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.