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Finding the Third Proportional to 92,966 and 203,674

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Solution

The third proportional to 92,966 and 203,674 is: 446,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,966 : 203,674 = 203,674 : x
  2. Step 2: Convert to fraction form
    92,966/203,674 = 203,674/x
  3. Step 3: Cross multiply
    92,966x = 203,674 × 203,674
  4. Step 4: Simplify right side
    92,966x = 41,483,098,276
  5. Step 5: Solve for x
    x = 41,483,098,276/92,966
  6. Step 6: Final answer
    x = 446,217.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.