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Finding the Third Proportional to 88,634 and 192,091

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Solution

The third proportional to 88,634 and 192,091 is: 416,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,634 : 192,091 = 192,091 : x
  2. Step 2: Convert to fraction form
    88,634/192,091 = 192,091/x
  3. Step 3: Cross multiply
    88,634x = 192,091 × 192,091
  4. Step 4: Simplify right side
    88,634x = 36,898,952,281
  5. Step 5: Solve for x
    x = 36,898,952,281/88,634
  6. Step 6: Final answer
    x = 416,306.97

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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.