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Finding the Third Proportional to 88,686 and 192,681

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Solution

The third proportional to 88,686 and 192,681 is: 418,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,686 : 192,681 = 192,681 : x
  2. Step 2: Convert to fraction form
    88,686/192,681 = 192,681/x
  3. Step 3: Cross multiply
    88,686x = 192,681 × 192,681
  4. Step 4: Simplify right side
    88,686x = 37,125,967,761
  5. Step 5: Solve for x
    x = 37,125,967,761/88,686
  6. Step 6: Final answer
    x = 418,622.64

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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.