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Finding the Third Proportional to 50,216.75 and 109,404

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Solution

The third proportional to 50,216.75 and 109,404 is: 238,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,216.75 : 109,404 = 109,404 : x
  2. Step 2: Convert to fraction form
    50,216.75/109,404 = 109,404/x
  3. Step 3: Cross multiply
    50,216.75x = 109,404 × 109,404
  4. Step 4: Simplify right side
    50,216.75x = 11,969,235,216
  5. Step 5: Solve for x
    x = 11,969,235,216/50,216.75
  6. Step 6: Final answer
    x = 238,351.45

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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.