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Finding the Third Proportional to 88,680 and 197,067

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Solution

The third proportional to 88,680 and 197,067 is: 437,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,680 : 197,067 = 197,067 : x
  2. Step 2: Convert to fraction form
    88,680/197,067 = 197,067/x
  3. Step 3: Cross multiply
    88,680x = 197,067 × 197,067
  4. Step 4: Simplify right side
    88,680x = 38,835,402,489
  5. Step 5: Solve for x
    x = 38,835,402,489/88,680
  6. Step 6: Final answer
    x = 437,927.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.