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Finding the Third Proportional to 96,822 and 202,512

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Solution

The third proportional to 96,822 and 202,512 is: 423,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,822 : 202,512 = 202,512 : x
  2. Step 2: Convert to fraction form
    96,822/202,512 = 202,512/x
  3. Step 3: Cross multiply
    96,822x = 202,512 × 202,512
  4. Step 4: Simplify right side
    96,822x = 41,011,110,144
  5. Step 5: Solve for x
    x = 41,011,110,144/96,822
  6. Step 6: Final answer
    x = 423,572.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.