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Finding the Third Proportional to 96,811 and 208,451

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Solution

The third proportional to 96,811 and 208,451 is: 448,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,811 : 208,451 = 208,451 : x
  2. Step 2: Convert to fraction form
    96,811/208,451 = 208,451/x
  3. Step 3: Cross multiply
    96,811x = 208,451 × 208,451
  4. Step 4: Simplify right side
    96,811x = 43,451,819,401
  5. Step 5: Solve for x
    x = 43,451,819,401/96,811
  6. Step 6: Final answer
    x = 448,831.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.