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Finding the Third Proportional to 91,976 and 189,848

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Solution

The third proportional to 91,976 and 189,848 is: 391,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,976 : 189,848 = 189,848 : x
  2. Step 2: Convert to fraction form
    91,976/189,848 = 189,848/x
  3. Step 3: Cross multiply
    91,976x = 189,848 × 189,848
  4. Step 4: Simplify right side
    91,976x = 36,042,263,104
  5. Step 5: Solve for x
    x = 36,042,263,104/91,976
  6. Step 6: Final answer
    x = 391,865.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.