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Finding the Third Proportional to 96,934 and 209,435

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Solution

The third proportional to 96,934 and 209,435 is: 452,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,934 : 209,435 = 209,435 : x
  2. Step 2: Convert to fraction form
    96,934/209,435 = 209,435/x
  3. Step 3: Cross multiply
    96,934x = 209,435 × 209,435
  4. Step 4: Simplify right side
    96,934x = 43,863,019,225
  5. Step 5: Solve for x
    x = 43,863,019,225/96,934
  6. Step 6: Final answer
    x = 452,503.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.