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Finding the Third Proportional to 101,637 and 222,966

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Solution

The third proportional to 101,637 and 222,966 is: 489,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,637 : 222,966 = 222,966 : x
  2. Step 2: Convert to fraction form
    101,637/222,966 = 222,966/x
  3. Step 3: Cross multiply
    101,637x = 222,966 × 222,966
  4. Step 4: Simplify right side
    101,637x = 49,713,837,156
  5. Step 5: Solve for x
    x = 49,713,837,156/101,637
  6. Step 6: Final answer
    x = 489,131.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.