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Finding the Third Proportional to 49,806.56 and 107,481.94

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Solution

The third proportional to 49,806.56 and 107,481.94 is: 231,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,806.56 : 107,481.94 = 107,481.94 : x
  2. Step 2: Convert to fraction form
    49,806.56/107,481.94 = 107,481.94/x
  3. Step 3: Cross multiply
    49,806.56x = 107,481.94 × 107,481.94
  4. Step 4: Simplify right side
    49,806.56x = 11,552,366,888.75
  5. Step 5: Solve for x
    x = 11,552,366,888.75/49,806.56
  6. Step 6: Final answer
    x = 231,944.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.