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Finding the Third Proportional to 96,838 and 212,684

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Solution

The third proportional to 96,838 and 212,684 is: 467,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838 : 212,684 = 212,684 : x
  2. Step 2: Convert to fraction form
    96,838/212,684 = 212,684/x
  3. Step 3: Cross multiply
    96,838x = 212,684 × 212,684
  4. Step 4: Simplify right side
    96,838x = 45,234,483,856
  5. Step 5: Solve for x
    x = 45,234,483,856/96,838
  6. Step 6: Final answer
    x = 467,115.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.