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Finding the Third Proportional to 103,889.25 and 224,383.50

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Solution

The third proportional to 103,889.25 and 224,383.50 is: 484,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,889.25 : 224,383.50 = 224,383.50 : x
  2. Step 2: Convert to fraction form
    103,889.25/224,383.50 = 224,383.50/x
  3. Step 3: Cross multiply
    103,889.25x = 224,383.50 × 224,383.50
  4. Step 4: Simplify right side
    103,889.25x = 50,347,955,072.25
  5. Step 5: Solve for x
    x = 50,347,955,072.25/103,889.25
  6. Step 6: Final answer
    x = 484,631.04

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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.