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Finding the Third Proportional to 43,138.50 and 96,319.50

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Solution

The third proportional to 43,138.50 and 96,319.50 is: 215,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,138.50 : 96,319.50 = 96,319.50 : x
  2. Step 2: Convert to fraction form
    43,138.50/96,319.50 = 96,319.50/x
  3. Step 3: Cross multiply
    43,138.50x = 96,319.50 × 96,319.50
  4. Step 4: Simplify right side
    43,138.50x = 9,277,446,080.25
  5. Step 5: Solve for x
    x = 9,277,446,080.25/43,138.50
  6. Step 6: Final answer
    x = 215,061.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.