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Finding the Third Proportional to 103,617.67 and 226,961.05

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Solution

The third proportional to 103,617.67 and 226,961.05 is: 497,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617.67 : 226,961.05 = 226,961.05 : x
  2. Step 2: Convert to fraction form
    103,617.67/226,961.05 = 226,961.05/x
  3. Step 3: Cross multiply
    103,617.67x = 226,961.05 × 226,961.05
  4. Step 4: Simplify right side
    103,617.67x = 51,511,318,571.73
  5. Step 5: Solve for x
    x = 51,511,318,571.73/103,617.67
  6. Step 6: Final answer
    x = 497,128.72

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