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Finding the Third Proportional to 96,822 and 209,729

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Solution

The third proportional to 96,822 and 209,729 is: 454,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,822 : 209,729 = 209,729 : x
  2. Step 2: Convert to fraction form
    96,822/209,729 = 209,729/x
  3. Step 3: Cross multiply
    96,822x = 209,729 × 209,729
  4. Step 4: Simplify right side
    96,822x = 43,986,253,441
  5. Step 5: Solve for x
    x = 43,986,253,441/96,822
  6. Step 6: Final answer
    x = 454,300.19

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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.