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Finding the Third Proportional to 106,983 and 225,904

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Solution

The third proportional to 106,983 and 225,904 is: 477,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983 : 225,904 = 225,904 : x
  2. Step 2: Convert to fraction form
    106,983/225,904 = 225,904/x
  3. Step 3: Cross multiply
    106,983x = 225,904 × 225,904
  4. Step 4: Simplify right side
    106,983x = 51,032,617,216
  5. Step 5: Solve for x
    x = 51,032,617,216/106,983
  6. Step 6: Final answer
    x = 477,016.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.