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Finding the Third Proportional to 50,635.50 and 109,062.75

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Solution

The third proportional to 50,635.50 and 109,062.75 is: 234,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,635.50 : 109,062.75 = 109,062.75 : x
  2. Step 2: Convert to fraction form
    50,635.50/109,062.75 = 109,062.75/x
  3. Step 3: Cross multiply
    50,635.50x = 109,062.75 × 109,062.75
  4. Step 4: Simplify right side
    50,635.50x = 11,894,683,437.56
  5. Step 5: Solve for x
    x = 11,894,683,437.56/50,635.50
  6. Step 6: Final answer
    x = 234,907.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.