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Finding the Third Proportional to 98,672.50 and 150,464.75

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Solution

The third proportional to 98,672.50 and 150,464.75 is: 229,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,672.50 : 150,464.75 = 150,464.75 : x
  2. Step 2: Convert to fraction form
    98,672.50/150,464.75 = 150,464.75/x
  3. Step 3: Cross multiply
    98,672.50x = 150,464.75 × 150,464.75
  4. Step 4: Simplify right side
    98,672.50x = 22,639,640,992.56
  5. Step 5: Solve for x
    x = 22,639,640,992.56/98,672.50
  6. Step 6: Final answer
    x = 229,442.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.