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Finding the Third Proportional to 50,986.97 and 110,448.56

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Solution

The third proportional to 50,986.97 and 110,448.56 is: 239,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986.97 : 110,448.56 = 110,448.56 : x
  2. Step 2: Convert to fraction form
    50,986.97/110,448.56 = 110,448.56/x
  3. Step 3: Cross multiply
    50,986.97x = 110,448.56 × 110,448.56
  4. Step 4: Simplify right side
    50,986.97x = 12,198,884,958.32
  5. Step 5: Solve for x
    x = 12,198,884,958.32/50,986.97
  6. Step 6: Final answer
    x = 239,254.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.