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Finding the Third Proportional to 96,466.50 and 149,352.75

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Solution

The third proportional to 96,466.50 and 149,352.75 is: 231,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,466.50 : 149,352.75 = 149,352.75 : x
  2. Step 2: Convert to fraction form
    96,466.50/149,352.75 = 149,352.75/x
  3. Step 3: Cross multiply
    96,466.50x = 149,352.75 × 149,352.75
  4. Step 4: Simplify right side
    96,466.50x = 22,306,243,932.56
  5. Step 5: Solve for x
    x = 22,306,243,932.56/96,466.50
  6. Step 6: Final answer
    x = 231,233.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.