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Finding the Third Proportional to 96,838 and 209,760

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Solution

The third proportional to 96,838 and 209,760 is: 454,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838 : 209,760 = 209,760 : x
  2. Step 2: Convert to fraction form
    96,838/209,760 = 209,760/x
  3. Step 3: Cross multiply
    96,838x = 209,760 × 209,760
  4. Step 4: Simplify right side
    96,838x = 43,999,257,600
  5. Step 5: Solve for x
    x = 43,999,257,600/96,838
  6. Step 6: Final answer
    x = 454,359.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.