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Finding the Third Proportional to 50,033.25 and 110,189.25

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Solution

The third proportional to 50,033.25 and 110,189.25 is: 242,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,033.25 : 110,189.25 = 110,189.25 : x
  2. Step 2: Convert to fraction form
    50,033.25/110,189.25 = 110,189.25/x
  3. Step 3: Cross multiply
    50,033.25x = 110,189.25 × 110,189.25
  4. Step 4: Simplify right side
    50,033.25x = 12,141,670,815.56
  5. Step 5: Solve for x
    x = 12,141,670,815.56/50,033.25
  6. Step 6: Final answer
    x = 242,672.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.