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Finding the Third Proportional to 103,619 and 226,993

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Solution

The third proportional to 103,619 and 226,993 is: 497,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619 : 226,993 = 226,993 : x
  2. Step 2: Convert to fraction form
    103,619/226,993 = 226,993/x
  3. Step 3: Cross multiply
    103,619x = 226,993 × 226,993
  4. Step 4: Simplify right side
    103,619x = 51,525,822,049
  5. Step 5: Solve for x
    x = 51,525,822,049/103,619
  6. Step 6: Final answer
    x = 497,262.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.