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Finding the Third Proportional to 49,676 and 107,639.50

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Solution

The third proportional to 49,676 and 107,639.50 is: 233,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,676 : 107,639.50 = 107,639.50 : x
  2. Step 2: Convert to fraction form
    49,676/107,639.50 = 107,639.50/x
  3. Step 3: Cross multiply
    49,676x = 107,639.50 × 107,639.50
  4. Step 4: Simplify right side
    49,676x = 11,586,261,960.25
  5. Step 5: Solve for x
    x = 11,586,261,960.25/49,676
  6. Step 6: Final answer
    x = 233,236.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.