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Finding the Third Proportional to 96,834 and 211,188

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Solution

The third proportional to 96,834 and 211,188 is: 460,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,834 : 211,188 = 211,188 : x
  2. Step 2: Convert to fraction form
    96,834/211,188 = 211,188/x
  3. Step 3: Cross multiply
    96,834x = 211,188 × 211,188
  4. Step 4: Simplify right side
    96,834x = 44,600,371,344
  5. Step 5: Solve for x
    x = 44,600,371,344/96,834
  6. Step 6: Final answer
    x = 460,585.86

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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.