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Finding the Third Proportional to 96,897 and 208,635

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Solution

The third proportional to 96,897 and 208,635 is: 449,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,897 : 208,635 = 208,635 : x
  2. Step 2: Convert to fraction form
    96,897/208,635 = 208,635/x
  3. Step 3: Cross multiply
    96,897x = 208,635 × 208,635
  4. Step 4: Simplify right side
    96,897x = 43,528,563,225
  5. Step 5: Solve for x
    x = 43,528,563,225/96,897
  6. Step 6: Final answer
    x = 449,225.09

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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.