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Finding the Third Proportional to 33,196.31 and 71,930.06

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Solution

The third proportional to 33,196.31 and 71,930.06 is: 155,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.31 : 71,930.06 = 71,930.06 : x
  2. Step 2: Convert to fraction form
    33,196.31/71,930.06 = 71,930.06/x
  3. Step 3: Cross multiply
    33,196.31x = 71,930.06 × 71,930.06
  4. Step 4: Simplify right side
    33,196.31x = 5,173,933,891.25
  5. Step 5: Solve for x
    x = 5,173,933,891.25/33,196.31
  6. Step 6: Final answer
    x = 155,858.69

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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.