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Finding the Third Proportional to 96,867 and 209,024

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Solution

The third proportional to 96,867 and 209,024 is: 451,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,867 : 209,024 = 209,024 : x
  2. Step 2: Convert to fraction form
    96,867/209,024 = 209,024/x
  3. Step 3: Cross multiply
    96,867x = 209,024 × 209,024
  4. Step 4: Simplify right side
    96,867x = 43,691,032,576
  5. Step 5: Solve for x
    x = 43,691,032,576/96,867
  6. Step 6: Final answer
    x = 451,041.45

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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.