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Finding the Third Proportional to 50.31 and 109.22

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Solution

The third proportional to 50.31 and 109.22 is: 237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.31 : 109.22 = 109.22 : x
  2. Step 2: Convert to fraction form
    50.31/109.22 = 109.22/x
  3. Step 3: Cross multiply
    50.31x = 109.22 × 109.22
  4. Step 4: Simplify right side
    50.31x = 11,928.74
  5. Step 5: Solve for x
    x = 11,928.74/50.31
  6. Step 6: Final answer
    x = 237.09

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