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Finding the Third Proportional to 192,616.88 and 414,879.75

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Solution

The third proportional to 192,616.88 and 414,879.75 is: 893,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,616.88 : 414,879.75 = 414,879.75 : x
  2. Step 2: Convert to fraction form
    192,616.88/414,879.75 = 414,879.75/x
  3. Step 3: Cross multiply
    192,616.88x = 414,879.75 × 414,879.75
  4. Step 4: Simplify right side
    192,616.88x = 172,125,206,960.06
  5. Step 5: Solve for x
    x = 172,125,206,960.06/192,616.88
  6. Step 6: Final answer
    x = 893,614.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.