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Finding the Third Proportional to 96,833 and 211,189

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Solution

The third proportional to 96,833 and 211,189 is: 460,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,833 : 211,189 = 211,189 : x
  2. Step 2: Convert to fraction form
    96,833/211,189 = 211,189/x
  3. Step 3: Cross multiply
    96,833x = 211,189 × 211,189
  4. Step 4: Simplify right side
    96,833x = 44,600,793,721
  5. Step 5: Solve for x
    x = 44,600,793,721/96,833
  6. Step 6: Final answer
    x = 460,594.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.