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Finding the Third Proportional to 88,185 and 193,866

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Solution

The third proportional to 88,185 and 193,866 is: 426,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,185 : 193,866 = 193,866 : x
  2. Step 2: Convert to fraction form
    88,185/193,866 = 193,866/x
  3. Step 3: Cross multiply
    88,185x = 193,866 × 193,866
  4. Step 4: Simplify right side
    88,185x = 37,584,025,956
  5. Step 5: Solve for x
    x = 37,584,025,956/88,185
  6. Step 6: Final answer
    x = 426,195.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.