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Finding the Third Proportional to 92,966 and 191,433

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Solution

The third proportional to 92,966 and 191,433 is: 394,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,966 : 191,433 = 191,433 : x
  2. Step 2: Convert to fraction form
    92,966/191,433 = 191,433/x
  3. Step 3: Cross multiply
    92,966x = 191,433 × 191,433
  4. Step 4: Simplify right side
    92,966x = 36,646,593,489
  5. Step 5: Solve for x
    x = 36,646,593,489/92,966
  6. Step 6: Final answer
    x = 394,193.51

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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.