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Finding the Third Proportional to 192,067.94 and 414,909.81

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Solution

The third proportional to 192,067.94 and 414,909.81 is: 896,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,067.94 : 414,909.81 = 414,909.81 : x
  2. Step 2: Convert to fraction form
    192,067.94/414,909.81 = 414,909.81/x
  3. Step 3: Cross multiply
    192,067.94x = 414,909.81 × 414,909.81
  4. Step 4: Simplify right side
    192,067.94x = 172,150,152,508.79
  5. Step 5: Solve for x
    x = 172,150,152,508.79/192,067.94
  6. Step 6: Final answer
    x = 896,298.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.