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Finding the Third Proportional to 192,067.88 and 418,186.13

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Solution

The third proportional to 192,067.88 and 418,186.13 is: 910,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,067.88 : 418,186.13 = 418,186.13 : x
  2. Step 2: Convert to fraction form
    192,067.88/418,186.13 = 418,186.13/x
  3. Step 3: Cross multiply
    192,067.88x = 418,186.13 × 418,186.13
  4. Step 4: Simplify right side
    192,067.88x = 174,879,635,142.52
  5. Step 5: Solve for x
    x = 174,879,635,142.52/192,067.88
  6. Step 6: Final answer
    x = 910,509.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.