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Finding the Third Proportional to 33,346.69 and 72,229.22

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Solution

The third proportional to 33,346.69 and 72,229.22 is: 156,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,346.69 : 72,229.22 = 72,229.22 : x
  2. Step 2: Convert to fraction form
    33,346.69/72,229.22 = 72,229.22/x
  3. Step 3: Cross multiply
    33,346.69x = 72,229.22 × 72,229.22
  4. Step 4: Simplify right side
    33,346.69x = 5,217,060,041.24
  5. Step 5: Solve for x
    x = 5,217,060,041.24/33,346.69
  6. Step 6: Final answer
    x = 156,449.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.