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Finding the Third Proportional to 50,652.98 and 110,224.97

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Solution

The third proportional to 50,652.98 and 110,224.97 is: 239,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652.98 : 110,224.97 = 110,224.97 : x
  2. Step 2: Convert to fraction form
    50,652.98/110,224.97 = 110,224.97/x
  3. Step 3: Cross multiply
    50,652.98x = 110,224.97 × 110,224.97
  4. Step 4: Simplify right side
    50,652.98x = 12,149,543,735.94
  5. Step 5: Solve for x
    x = 12,149,543,735.94/50,652.98
  6. Step 6: Final answer
    x = 239,858.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.