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Finding the Third Proportional to 49,236.75 and 107,382.38

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Solution

The third proportional to 49,236.75 and 107,382.38 is: 234,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236.75 : 107,382.38 = 107,382.38 : x
  2. Step 2: Convert to fraction form
    49,236.75/107,382.38 = 107,382.38/x
  3. Step 3: Cross multiply
    49,236.75x = 107,382.38 × 107,382.38
  4. Step 4: Simplify right side
    49,236.75x = 11,530,974,460.64
  5. Step 5: Solve for x
    x = 11,530,974,460.64/49,236.75
  6. Step 6: Final answer
    x = 234,194.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.