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Finding the Third Proportional to 106,954 and 216,504

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Solution

The third proportional to 106,954 and 216,504 is: 438,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,954 : 216,504 = 216,504 : x
  2. Step 2: Convert to fraction form
    106,954/216,504 = 216,504/x
  3. Step 3: Cross multiply
    106,954x = 216,504 × 216,504
  4. Step 4: Simplify right side
    106,954x = 46,873,982,016
  5. Step 5: Solve for x
    x = 46,873,982,016/106,954
  6. Step 6: Final answer
    x = 438,263.01

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.