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Finding the Third Proportional to 86.38 and 183.83

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Solution

The third proportional to 86.38 and 183.83 is: 391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.38 : 183.83 = 183.83 : x
  2. Step 2: Convert to fraction form
    86.38/183.83 = 183.83/x
  3. Step 3: Cross multiply
    86.38x = 183.83 × 183.83
  4. Step 4: Simplify right side
    86.38x = 33,794.22
  5. Step 5: Solve for x
    x = 33,794.22/86.38
  6. Step 6: Final answer
    x = 391.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.