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Finding the Third Proportional to 96,867 and 208,577

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Solution

The third proportional to 96,867 and 208,577 is: 449,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,867 : 208,577 = 208,577 : x
  2. Step 2: Convert to fraction form
    96,867/208,577 = 208,577/x
  3. Step 3: Cross multiply
    96,867x = 208,577 × 208,577
  4. Step 4: Simplify right side
    96,867x = 43,504,364,929
  5. Step 5: Solve for x
    x = 43,504,364,929/96,867
  6. Step 6: Final answer
    x = 449,114.40

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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.