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Finding the Third Proportional to 40,231.69 and 87,183.84

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Solution

The third proportional to 40,231.69 and 87,183.84 is: 188,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,231.69 : 87,183.84 = 87,183.84 : x
  2. Step 2: Convert to fraction form
    40,231.69/87,183.84 = 87,183.84/x
  3. Step 3: Cross multiply
    40,231.69x = 87,183.84 × 87,183.84
  4. Step 4: Simplify right side
    40,231.69x = 7,601,022,611.02
  5. Step 5: Solve for x
    x = 7,601,022,611.02/40,231.69
  6. Step 6: Final answer
    x = 188,931.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.