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Finding the Third Proportional to 96,891 and 208,623

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Solution

The third proportional to 96,891 and 208,623 is: 449,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,891 : 208,623 = 208,623 : x
  2. Step 2: Convert to fraction form
    96,891/208,623 = 208,623/x
  3. Step 3: Cross multiply
    96,891x = 208,623 × 208,623
  4. Step 4: Simplify right side
    96,891x = 43,523,556,129
  5. Step 5: Solve for x
    x = 43,523,556,129/96,891
  6. Step 6: Final answer
    x = 449,201.23

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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.