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Finding the Third Proportional to 103,695 and 223,930

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Solution

The third proportional to 103,695 and 223,930 is: 483,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 223,930 = 223,930 : x
  2. Step 2: Convert to fraction form
    103,695/223,930 = 223,930/x
  3. Step 3: Cross multiply
    103,695x = 223,930 × 223,930
  4. Step 4: Simplify right side
    103,695x = 50,144,644,900
  5. Step 5: Solve for x
    x = 50,144,644,900/103,695
  6. Step 6: Final answer
    x = 483,578.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.