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Finding the Third Proportional to 90,573 and 196,707

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Solution

The third proportional to 90,573 and 196,707 is: 427,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,573 : 196,707 = 196,707 : x
  2. Step 2: Convert to fraction form
    90,573/196,707 = 196,707/x
  3. Step 3: Cross multiply
    90,573x = 196,707 × 196,707
  4. Step 4: Simplify right side
    90,573x = 38,693,643,849
  5. Step 5: Solve for x
    x = 38,693,643,849/90,573
  6. Step 6: Final answer
    x = 427,209.48

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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.