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Finding the Third Proportional to 96,836 and 209,758

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Solution

The third proportional to 96,836 and 209,758 is: 454,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,836 : 209,758 = 209,758 : x
  2. Step 2: Convert to fraction form
    96,836/209,758 = 209,758/x
  3. Step 3: Cross multiply
    96,836x = 209,758 × 209,758
  4. Step 4: Simplify right side
    96,836x = 43,998,418,564
  5. Step 5: Solve for x
    x = 43,998,418,564/96,836
  6. Step 6: Final answer
    x = 454,360.14

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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.