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Finding the Third Proportional to 83,366 and 192,827

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Solution

The third proportional to 83,366 and 192,827 is: 446,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,366 : 192,827 = 192,827 : x
  2. Step 2: Convert to fraction form
    83,366/192,827 = 192,827/x
  3. Step 3: Cross multiply
    83,366x = 192,827 × 192,827
  4. Step 4: Simplify right side
    83,366x = 37,182,251,929
  5. Step 5: Solve for x
    x = 37,182,251,929/83,366
  6. Step 6: Final answer
    x = 446,012.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.