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Finding the Third Proportional to 96,454.50 and 150,202.50

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Solution

The third proportional to 96,454.50 and 150,202.50 is: 233,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,454.50 : 150,202.50 = 150,202.50 : x
  2. Step 2: Convert to fraction form
    96,454.50/150,202.50 = 150,202.50/x
  3. Step 3: Cross multiply
    96,454.50x = 150,202.50 × 150,202.50
  4. Step 4: Simplify right side
    96,454.50x = 22,560,791,006.25
  5. Step 5: Solve for x
    x = 22,560,791,006.25/96,454.50
  6. Step 6: Final answer
    x = 233,900.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.