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Finding the Third Proportional to 33,199.88 and 71,719.17

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Solution

The third proportional to 33,199.88 and 71,719.17 is: 154,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.88 : 71,719.17 = 71,719.17 : x
  2. Step 2: Convert to fraction form
    33,199.88/71,719.17 = 71,719.17/x
  3. Step 3: Cross multiply
    33,199.88x = 71,719.17 × 71,719.17
  4. Step 4: Simplify right side
    33,199.88x = 5,143,639,614.44
  5. Step 5: Solve for x
    x = 5,143,639,614.44/33,199.88
  6. Step 6: Final answer
    x = 154,929.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.