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Finding the Third Proportional to 50,698.41 and 108,183.09

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Solution

The third proportional to 50,698.41 and 108,183.09 is: 230,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.41 : 108,183.09 = 108,183.09 : x
  2. Step 2: Convert to fraction form
    50,698.41/108,183.09 = 108,183.09/x
  3. Step 3: Cross multiply
    50,698.41x = 108,183.09 × 108,183.09
  4. Step 4: Simplify right side
    50,698.41x = 11,703,581,773.32
  5. Step 5: Solve for x
    x = 11,703,581,773.32/50,698.41
  6. Step 6: Final answer
    x = 230,847.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.