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Finding the Third Proportional to 49,268.81 and 108,378.56

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Solution

The third proportional to 49,268.81 and 108,378.56 is: 238,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,268.81 : 108,378.56 = 108,378.56 : x
  2. Step 2: Convert to fraction form
    49,268.81/108,378.56 = 108,378.56/x
  3. Step 3: Cross multiply
    49,268.81x = 108,378.56 × 108,378.56
  4. Step 4: Simplify right side
    49,268.81x = 11,745,912,809.57
  5. Step 5: Solve for x
    x = 11,745,912,809.57/49,268.81
  6. Step 6: Final answer
    x = 238,404.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.