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Finding the Third Proportional to 50,296.78 and 104,724.56

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Solution

The third proportional to 50,296.78 and 104,724.56 is: 218,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296.78 : 104,724.56 = 104,724.56 : x
  2. Step 2: Convert to fraction form
    50,296.78/104,724.56 = 104,724.56/x
  3. Step 3: Cross multiply
    50,296.78x = 104,724.56 × 104,724.56
  4. Step 4: Simplify right side
    50,296.78x = 10,967,233,990.82
  5. Step 5: Solve for x
    x = 10,967,233,990.82/50,296.78
  6. Step 6: Final answer
    x = 218,050.41

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.