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Finding the Third Proportional to 103,903 and 223,699

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Solution

The third proportional to 103,903 and 223,699 is: 481,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,903 : 223,699 = 223,699 : x
  2. Step 2: Convert to fraction form
    103,903/223,699 = 223,699/x
  3. Step 3: Cross multiply
    103,903x = 223,699 × 223,699
  4. Step 4: Simplify right side
    103,903x = 50,041,242,601
  5. Step 5: Solve for x
    x = 50,041,242,601/103,903
  6. Step 6: Final answer
    x = 481,614.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.