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Finding the Third Proportional to 106,022.25 and 230,770.69

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Solution

The third proportional to 106,022.25 and 230,770.69 is: 502,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,022.25 : 230,770.69 = 230,770.69 : x
  2. Step 2: Convert to fraction form
    106,022.25/230,770.69 = 230,770.69/x
  3. Step 3: Cross multiply
    106,022.25x = 230,770.69 × 230,770.69
  4. Step 4: Simplify right side
    106,022.25x = 53,255,110,209.22
  5. Step 5: Solve for x
    x = 53,255,110,209.22/106,022.25
  6. Step 6: Final answer
    x = 502,301.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.