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Finding the Third Proportional to 106,381.69 and 230,493.09

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Solution

The third proportional to 106,381.69 and 230,493.09 is: 499,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,381.69 : 230,493.09 = 230,493.09 : x
  2. Step 2: Convert to fraction form
    106,381.69/230,493.09 = 230,493.09/x
  3. Step 3: Cross multiply
    106,381.69x = 230,493.09 × 230,493.09
  4. Step 4: Simplify right side
    106,381.69x = 53,127,066,266.45
  5. Step 5: Solve for x
    x = 53,127,066,266.45/106,381.69
  6. Step 6: Final answer
    x = 499,400.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.