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Finding the Third Proportional to 96,208 and 213,172

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Solution

The third proportional to 96,208 and 213,172 is: 472,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,208 : 213,172 = 213,172 : x
  2. Step 2: Convert to fraction form
    96,208/213,172 = 213,172/x
  3. Step 3: Cross multiply
    96,208x = 213,172 × 213,172
  4. Step 4: Simplify right side
    96,208x = 45,442,301,584
  5. Step 5: Solve for x
    x = 45,442,301,584/96,208
  6. Step 6: Final answer
    x = 472,333.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.