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Finding the Third Proportional to 96,379.88 and 199,462.50

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Solution

The third proportional to 96,379.88 and 199,462.50 is: 412,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,379.88 : 199,462.50 = 199,462.50 : x
  2. Step 2: Convert to fraction form
    96,379.88/199,462.50 = 199,462.50/x
  3. Step 3: Cross multiply
    96,379.88x = 199,462.50 × 199,462.50
  4. Step 4: Simplify right side
    96,379.88x = 39,785,288,906.25
  5. Step 5: Solve for x
    x = 39,785,288,906.25/96,379.88
  6. Step 6: Final answer
    x = 412,796.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.