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Finding the Third Proportional to 91,791 and 194,591

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Solution

The third proportional to 91,791 and 194,591 is: 412,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,791 : 194,591 = 194,591 : x
  2. Step 2: Convert to fraction form
    91,791/194,591 = 194,591/x
  3. Step 3: Cross multiply
    91,791x = 194,591 × 194,591
  4. Step 4: Simplify right side
    91,791x = 37,865,657,281
  5. Step 5: Solve for x
    x = 37,865,657,281/91,791
  6. Step 6: Final answer
    x = 412,520.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.