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Finding the Third Proportional to 44,847 and 101,344.50

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Solution

The third proportional to 44,847 and 101,344.50 is: 229,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,847 : 101,344.50 = 101,344.50 : x
  2. Step 2: Convert to fraction form
    44,847/101,344.50 = 101,344.50/x
  3. Step 3: Cross multiply
    44,847x = 101,344.50 × 101,344.50
  4. Step 4: Simplify right side
    44,847x = 10,270,707,680.25
  5. Step 5: Solve for x
    x = 10,270,707,680.25/44,847
  6. Step 6: Final answer
    x = 229,016.60

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.