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Finding the Third Proportional to 94,443 and 205,503

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Solution

The third proportional to 94,443 and 205,503 is: 447,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,443 : 205,503 = 205,503 : x
  2. Step 2: Convert to fraction form
    94,443/205,503 = 205,503/x
  3. Step 3: Cross multiply
    94,443x = 205,503 × 205,503
  4. Step 4: Simplify right side
    94,443x = 42,231,483,009
  5. Step 5: Solve for x
    x = 42,231,483,009/94,443
  6. Step 6: Final answer
    x = 447,163.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.