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Finding the Third Proportional to 94,839 and 203,208

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Solution

The third proportional to 94,839 and 203,208 is: 435,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,839 : 203,208 = 203,208 : x
  2. Step 2: Convert to fraction form
    94,839/203,208 = 203,208/x
  3. Step 3: Cross multiply
    94,839x = 203,208 × 203,208
  4. Step 4: Simplify right side
    94,839x = 41,293,491,264
  5. Step 5: Solve for x
    x = 41,293,491,264/94,839
  6. Step 6: Final answer
    x = 435,406.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.