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Finding the Third Proportional to 103,914 and 223,721

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Solution

The third proportional to 103,914 and 223,721 is: 481,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,914 : 223,721 = 223,721 : x
  2. Step 2: Convert to fraction form
    103,914/223,721 = 223,721/x
  3. Step 3: Cross multiply
    103,914x = 223,721 × 223,721
  4. Step 4: Simplify right side
    103,914x = 50,051,085,841
  5. Step 5: Solve for x
    x = 50,051,085,841/103,914
  6. Step 6: Final answer
    x = 481,658.74

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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.