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Finding the Third Proportional to 98,229.59 and 150,163.24

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Solution

The third proportional to 98,229.59 and 150,163.24 is: 229,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,229.59 : 150,163.24 = 150,163.24 : x
  2. Step 2: Convert to fraction form
    98,229.59/150,163.24 = 150,163.24/x
  3. Step 3: Cross multiply
    98,229.59x = 150,163.24 × 150,163.24
  4. Step 4: Simplify right side
    98,229.59x = 22,548,999,304.26
  5. Step 5: Solve for x
    x = 22,548,999,304.26/98,229.59
  6. Step 6: Final answer
    x = 229,554.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.