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Finding the Third Proportional to 106,923.75 and 229,643.25

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Solution

The third proportional to 106,923.75 and 229,643.25 is: 493,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,923.75 : 229,643.25 = 229,643.25 : x
  2. Step 2: Convert to fraction form
    106,923.75/229,643.25 = 229,643.25/x
  3. Step 3: Cross multiply
    106,923.75x = 229,643.25 × 229,643.25
  4. Step 4: Simplify right side
    106,923.75x = 52,736,022,270.56
  5. Step 5: Solve for x
    x = 52,736,022,270.56/106,923.75
  6. Step 6: Final answer
    x = 493,211.49

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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.