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Finding the Third Proportional to 96,209.81 and 150,921.19

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Solution

The third proportional to 96,209.81 and 150,921.19 is: 236,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,209.81 : 150,921.19 = 150,921.19 : x
  2. Step 2: Convert to fraction form
    96,209.81/150,921.19 = 150,921.19/x
  3. Step 3: Cross multiply
    96,209.81x = 150,921.19 × 150,921.19
  4. Step 4: Simplify right side
    96,209.81x = 22,777,204,836.41
  5. Step 5: Solve for x
    x = 22,777,204,836.41/96,209.81
  6. Step 6: Final answer
    x = 236,745.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.