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Finding the Third Proportional to 33,196.22 and 71,929.97

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Solution

The third proportional to 33,196.22 and 71,929.97 is: 155,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.22 : 71,929.97 = 71,929.97 : x
  2. Step 2: Convert to fraction form
    33,196.22/71,929.97 = 71,929.97/x
  3. Step 3: Cross multiply
    33,196.22x = 71,929.97 × 71,929.97
  4. Step 4: Simplify right side
    33,196.22x = 5,173,920,404.38
  5. Step 5: Solve for x
    x = 5,173,920,404.38/33,196.22
  6. Step 6: Final answer
    x = 155,858.73

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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.