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Finding the Third Proportional to 49,947.75 and 107,003.25

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Solution

The third proportional to 49,947.75 and 107,003.25 is: 229,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,947.75 : 107,003.25 = 107,003.25 : x
  2. Step 2: Convert to fraction form
    49,947.75/107,003.25 = 107,003.25/x
  3. Step 3: Cross multiply
    49,947.75x = 107,003.25 × 107,003.25
  4. Step 4: Simplify right side
    49,947.75x = 11,449,695,510.56
  5. Step 5: Solve for x
    x = 11,449,695,510.56/49,947.75
  6. Step 6: Final answer
    x = 229,233.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.