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Finding the Third Proportional to 38,857.78 and 83,841.19

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Solution

The third proportional to 38,857.78 and 83,841.19 is: 180,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857.78 : 83,841.19 = 83,841.19 : x
  2. Step 2: Convert to fraction form
    38,857.78/83,841.19 = 83,841.19/x
  3. Step 3: Cross multiply
    38,857.78x = 83,841.19 × 83,841.19
  4. Step 4: Simplify right side
    38,857.78x = 7,029,344,721.41
  5. Step 5: Solve for x
    x = 7,029,344,721.41/38,857.78
  6. Step 6: Final answer
    x = 180,899.28

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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.