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Finding the Third Proportional to 188,103 and 411,198

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Solution

The third proportional to 188,103 and 411,198 is: 898,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,103 : 411,198 = 411,198 : x
  2. Step 2: Convert to fraction form
    188,103/411,198 = 411,198/x
  3. Step 3: Cross multiply
    188,103x = 411,198 × 411,198
  4. Step 4: Simplify right side
    188,103x = 169,083,795,204
  5. Step 5: Solve for x
    x = 169,083,795,204/188,103
  6. Step 6: Final answer
    x = 898,889.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.