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Finding the Third Proportional to 96,895 and 208,631

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Solution

The third proportional to 96,895 and 208,631 is: 449,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,895 : 208,631 = 208,631 : x
  2. Step 2: Convert to fraction form
    96,895/208,631 = 208,631/x
  3. Step 3: Cross multiply
    96,895x = 208,631 × 208,631
  4. Step 4: Simplify right side
    96,895x = 43,526,894,161
  5. Step 5: Solve for x
    x = 43,526,894,161/96,895
  6. Step 6: Final answer
    x = 449,217.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.