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Finding the Third Proportional to 91,842 and 191,994

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Solution

The third proportional to 91,842 and 191,994 is: 401,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,842 : 191,994 = 191,994 : x
  2. Step 2: Convert to fraction form
    91,842/191,994 = 191,994/x
  3. Step 3: Cross multiply
    91,842x = 191,994 × 191,994
  4. Step 4: Simplify right side
    91,842x = 36,861,696,036
  5. Step 5: Solve for x
    x = 36,861,696,036/91,842
  6. Step 6: Final answer
    x = 401,359.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.