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Finding the Third Proportional to 46,217 and 100,204

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Solution

The third proportional to 46,217 and 100,204 is: 217,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,217 : 100,204 = 100,204 : x
  2. Step 2: Convert to fraction form
    46,217/100,204 = 100,204/x
  3. Step 3: Cross multiply
    46,217x = 100,204 × 100,204
  4. Step 4: Simplify right side
    46,217x = 10,040,841,616
  5. Step 5: Solve for x
    x = 10,040,841,616/46,217
  6. Step 6: Final answer
    x = 217,254.29

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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.