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Finding the Third Proportional to 96,814 and 209,711

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Solution

The third proportional to 96,814 and 209,711 is: 454,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,814 : 209,711 = 209,711 : x
  2. Step 2: Convert to fraction form
    96,814/209,711 = 209,711/x
  3. Step 3: Cross multiply
    96,814x = 209,711 × 209,711
  4. Step 4: Simplify right side
    96,814x = 43,978,703,521
  5. Step 5: Solve for x
    x = 43,978,703,521/96,814
  6. Step 6: Final answer
    x = 454,259.75

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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.