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Finding the Third Proportional to 88,634.25 and 194,489.25

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Solution

The third proportional to 88,634.25 and 194,489.25 is: 426,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,634.25 : 194,489.25 = 194,489.25 : x
  2. Step 2: Convert to fraction form
    88,634.25/194,489.25 = 194,489.25/x
  3. Step 3: Cross multiply
    88,634.25x = 194,489.25 × 194,489.25
  4. Step 4: Simplify right side
    88,634.25x = 37,826,068,365.56
  5. Step 5: Solve for x
    x = 37,826,068,365.56/88,634.25
  6. Step 6: Final answer
    x = 426,765.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.