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Finding the Third Proportional to 50,865.75 and 110,488.50

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Solution

The third proportional to 50,865.75 and 110,488.50 is: 239,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,865.75 : 110,488.50 = 110,488.50 : x
  2. Step 2: Convert to fraction form
    50,865.75/110,488.50 = 110,488.50/x
  3. Step 3: Cross multiply
    50,865.75x = 110,488.50 × 110,488.50
  4. Step 4: Simplify right side
    50,865.75x = 12,207,708,632.25
  5. Step 5: Solve for x
    x = 12,207,708,632.25/50,865.75
  6. Step 6: Final answer
    x = 239,998.60

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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.