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Finding the Third Proportional to 90,420 and 196,914

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Solution

The third proportional to 90,420 and 196,914 is: 428,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,420 : 196,914 = 196,914 : x
  2. Step 2: Convert to fraction form
    90,420/196,914 = 196,914/x
  3. Step 3: Cross multiply
    90,420x = 196,914 × 196,914
  4. Step 4: Simplify right side
    90,420x = 38,775,123,396
  5. Step 5: Solve for x
    x = 38,775,123,396/90,420
  6. Step 6: Final answer
    x = 428,833.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.