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Finding the Third Proportional to 50,986.55 and 109,351.69

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Solution

The third proportional to 50,986.55 and 109,351.69 is: 234,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986.55 : 109,351.69 = 109,351.69 : x
  2. Step 2: Convert to fraction form
    50,986.55/109,351.69 = 109,351.69/x
  3. Step 3: Cross multiply
    50,986.55x = 109,351.69 × 109,351.69
  4. Step 4: Simplify right side
    50,986.55x = 11,957,791,559.10
  5. Step 5: Solve for x
    x = 11,957,791,559.10/50,986.55
  6. Step 6: Final answer
    x = 234,528.37

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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.