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Finding the Third Proportional to 105,969 and 230,163

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Solution

The third proportional to 105,969 and 230,163 is: 499,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969 : 230,163 = 230,163 : x
  2. Step 2: Convert to fraction form
    105,969/230,163 = 230,163/x
  3. Step 3: Cross multiply
    105,969x = 230,163 × 230,163
  4. Step 4: Simplify right side
    105,969x = 52,975,006,569
  5. Step 5: Solve for x
    x = 52,975,006,569/105,969
  6. Step 6: Final answer
    x = 499,910.41

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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.