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Finding the Third Proportional to 88,864 and 192,914

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Solution

The third proportional to 88,864 and 192,914 is: 418,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,864 : 192,914 = 192,914 : x
  2. Step 2: Convert to fraction form
    88,864/192,914 = 192,914/x
  3. Step 3: Cross multiply
    88,864x = 192,914 × 192,914
  4. Step 4: Simplify right side
    88,864x = 37,215,811,396
  5. Step 5: Solve for x
    x = 37,215,811,396/88,864
  6. Step 6: Final answer
    x = 418,795.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.