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Finding the Third Proportional to 50,437.69 and 110,204.30

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Solution

The third proportional to 50,437.69 and 110,204.30 is: 240,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,437.69 : 110,204.30 = 110,204.30 : x
  2. Step 2: Convert to fraction form
    50,437.69/110,204.30 = 110,204.30/x
  3. Step 3: Cross multiply
    50,437.69x = 110,204.30 × 110,204.30
  4. Step 4: Simplify right side
    50,437.69x = 12,144,987,049.71
  5. Step 5: Solve for x
    x = 12,144,987,049.71/50,437.69
  6. Step 6: Final answer
    x = 240,791.91

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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.