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Finding the Third Proportional to 89,448 and 194,439

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Solution

The third proportional to 89,448 and 194,439 is: 422,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,448 : 194,439 = 194,439 : x
  2. Step 2: Convert to fraction form
    89,448/194,439 = 194,439/x
  3. Step 3: Cross multiply
    89,448x = 194,439 × 194,439
  4. Step 4: Simplify right side
    89,448x = 37,806,524,721
  5. Step 5: Solve for x
    x = 37,806,524,721/89,448
  6. Step 6: Final answer
    x = 422,664.84

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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.