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Finding the Third Proportional to 91,176 and 195,978

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Solution

The third proportional to 91,176 and 195,978 is: 421,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,176 : 195,978 = 195,978 : x
  2. Step 2: Convert to fraction form
    91,176/195,978 = 195,978/x
  3. Step 3: Cross multiply
    91,176x = 195,978 × 195,978
  4. Step 4: Simplify right side
    91,176x = 38,407,376,484
  5. Step 5: Solve for x
    x = 38,407,376,484/91,176
  6. Step 6: Final answer
    x = 421,244.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.