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Finding the Third Proportional to 50,538.94 and 110,043.56

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Solution

The third proportional to 50,538.94 and 110,043.56 is: 239,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538.94 : 110,043.56 = 110,043.56 : x
  2. Step 2: Convert to fraction form
    50,538.94/110,043.56 = 110,043.56/x
  3. Step 3: Cross multiply
    50,538.94x = 110,043.56 × 110,043.56
  4. Step 4: Simplify right side
    50,538.94x = 12,109,585,647.69
  5. Step 5: Solve for x
    x = 12,109,585,647.69/50,538.94
  6. Step 6: Final answer
    x = 239,609.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.