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Finding the Third Proportional to 88,481 and 194,458

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Solution

The third proportional to 88,481 and 194,458 is: 427,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,481 : 194,458 = 194,458 : x
  2. Step 2: Convert to fraction form
    88,481/194,458 = 194,458/x
  3. Step 3: Cross multiply
    88,481x = 194,458 × 194,458
  4. Step 4: Simplify right side
    88,481x = 37,813,913,764
  5. Step 5: Solve for x
    x = 37,813,913,764/88,481
  6. Step 6: Final answer
    x = 427,367.61

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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.