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Finding the Third Proportional to 94,558 and 204,869

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Solution

The third proportional to 94,558 and 204,869 is: 443,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,558 : 204,869 = 204,869 : x
  2. Step 2: Convert to fraction form
    94,558/204,869 = 204,869/x
  3. Step 3: Cross multiply
    94,558x = 204,869 × 204,869
  4. Step 4: Simplify right side
    94,558x = 41,971,307,161
  5. Step 5: Solve for x
    x = 41,971,307,161/94,558
  6. Step 6: Final answer
    x = 443,868.39

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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.