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Finding the Third Proportional to 91,776 and 194,649

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Solution

The third proportional to 91,776 and 194,649 is: 412,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,776 : 194,649 = 194,649 : x
  2. Step 2: Convert to fraction form
    91,776/194,649 = 194,649/x
  3. Step 3: Cross multiply
    91,776x = 194,649 × 194,649
  4. Step 4: Simplify right side
    91,776x = 37,888,233,201
  5. Step 5: Solve for x
    x = 37,888,233,201/91,776
  6. Step 6: Final answer
    x = 412,833.78

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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.