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Finding the Third Proportional to 106,029 and 222,966

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Solution

The third proportional to 106,029 and 222,966 is: 468,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029 : 222,966 = 222,966 : x
  2. Step 2: Convert to fraction form
    106,029/222,966 = 222,966/x
  3. Step 3: Cross multiply
    106,029x = 222,966 × 222,966
  4. Step 4: Simplify right side
    106,029x = 49,713,837,156
  5. Step 5: Solve for x
    x = 49,713,837,156/106,029
  6. Step 6: Final answer
    x = 468,870.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.