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Finding the Third Proportional to 91,788 and 194,586

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Solution

The third proportional to 91,788 and 194,586 is: 412,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,788 : 194,586 = 194,586 : x
  2. Step 2: Convert to fraction form
    91,788/194,586 = 194,586/x
  3. Step 3: Cross multiply
    91,788x = 194,586 × 194,586
  4. Step 4: Simplify right side
    91,788x = 37,863,711,396
  5. Step 5: Solve for x
    x = 37,863,711,396/91,788
  6. Step 6: Final answer
    x = 412,512.65

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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.