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Finding the Third Proportional to 104,809.50 and 226,221.75

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Solution

The third proportional to 104,809.50 and 226,221.75 is: 488,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,809.50 : 226,221.75 = 226,221.75 : x
  2. Step 2: Convert to fraction form
    104,809.50/226,221.75 = 226,221.75/x
  3. Step 3: Cross multiply
    104,809.50x = 226,221.75 × 226,221.75
  4. Step 4: Simplify right side
    104,809.50x = 51,176,280,173.06
  5. Step 5: Solve for x
    x = 51,176,280,173.06/104,809.50
  6. Step 6: Final answer
    x = 488,279.02

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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.