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Finding the Third Proportional to 49,233.38 and 100,274.25

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Solution

The third proportional to 49,233.38 and 100,274.25 is: 204,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,233.38 : 100,274.25 = 100,274.25 : x
  2. Step 2: Convert to fraction form
    49,233.38/100,274.25 = 100,274.25/x
  3. Step 3: Cross multiply
    49,233.38x = 100,274.25 × 100,274.25
  4. Step 4: Simplify right side
    49,233.38x = 10,054,925,213.06
  5. Step 5: Solve for x
    x = 10,054,925,213.06/49,233.38
  6. Step 6: Final answer
    x = 204,229.86

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.