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Finding the Third Proportional to 92,978 and 190,857

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Solution

The third proportional to 92,978 and 190,857 is: 391,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,978 : 190,857 = 190,857 : x
  2. Step 2: Convert to fraction form
    92,978/190,857 = 190,857/x
  3. Step 3: Cross multiply
    92,978x = 190,857 × 190,857
  4. Step 4: Simplify right side
    92,978x = 36,426,394,449
  5. Step 5: Solve for x
    x = 36,426,394,449/92,978
  6. Step 6: Final answer
    x = 391,774.34

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.