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Finding the Third Proportional to 43,869 and 96,484

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Solution

The third proportional to 43,869 and 96,484 is: 212,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,869 : 96,484 = 96,484 : x
  2. Step 2: Convert to fraction form
    43,869/96,484 = 96,484/x
  3. Step 3: Cross multiply
    43,869x = 96,484 × 96,484
  4. Step 4: Simplify right side
    43,869x = 9,309,162,256
  5. Step 5: Solve for x
    x = 9,309,162,256/43,869
  6. Step 6: Final answer
    x = 212,203.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.