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Finding the Third Proportional to 96,816 and 202,344

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Solution

The third proportional to 96,816 and 202,344 is: 422,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,816 : 202,344 = 202,344 : x
  2. Step 2: Convert to fraction form
    96,816/202,344 = 202,344/x
  3. Step 3: Cross multiply
    96,816x = 202,344 × 202,344
  4. Step 4: Simplify right side
    96,816x = 40,943,094,336
  5. Step 5: Solve for x
    x = 40,943,094,336/96,816
  6. Step 6: Final answer
    x = 422,895.95

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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.