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Finding the Third Proportional to 90,677 and 196,933

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Solution

The third proportional to 90,677 and 196,933 is: 427,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,677 : 196,933 = 196,933 : x
  2. Step 2: Convert to fraction form
    90,677/196,933 = 196,933/x
  3. Step 3: Cross multiply
    90,677x = 196,933 × 196,933
  4. Step 4: Simplify right side
    90,677x = 38,782,606,489
  5. Step 5: Solve for x
    x = 38,782,606,489/90,677
  6. Step 6: Final answer
    x = 427,700.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.