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Finding the Third Proportional to 104,143.50 and 224,109

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Solution

The third proportional to 104,143.50 and 224,109 is: 482,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,143.50 : 224,109 = 224,109 : x
  2. Step 2: Convert to fraction form
    104,143.50/224,109 = 224,109/x
  3. Step 3: Cross multiply
    104,143.50x = 224,109 × 224,109
  4. Step 4: Simplify right side
    104,143.50x = 50,224,843,881
  5. Step 5: Solve for x
    x = 50,224,843,881/104,143.50
  6. Step 6: Final answer
    x = 482,265.76

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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.