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Finding the Third Proportional to 106,686 and 229,896

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Solution

The third proportional to 106,686 and 229,896 is: 495,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,686 : 229,896 = 229,896 : x
  2. Step 2: Convert to fraction form
    106,686/229,896 = 229,896/x
  3. Step 3: Cross multiply
    106,686x = 229,896 × 229,896
  4. Step 4: Simplify right side
    106,686x = 52,852,170,816
  5. Step 5: Solve for x
    x = 52,852,170,816/106,686
  6. Step 6: Final answer
    x = 495,399.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.