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Finding the Third Proportional to 103,855 and 225,935

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Solution

The third proportional to 103,855 and 225,935 is: 491,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,855 : 225,935 = 225,935 : x
  2. Step 2: Convert to fraction form
    103,855/225,935 = 225,935/x
  3. Step 3: Cross multiply
    103,855x = 225,935 × 225,935
  4. Step 4: Simplify right side
    103,855x = 51,046,624,225
  5. Step 5: Solve for x
    x = 51,046,624,225/103,855
  6. Step 6: Final answer
    x = 491,518.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.