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Finding the Third Proportional to 104,107.50 and 224,007

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Solution

The third proportional to 104,107.50 and 224,007 is: 481,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,107.50 : 224,007 = 224,007 : x
  2. Step 2: Convert to fraction form
    104,107.50/224,007 = 224,007/x
  3. Step 3: Cross multiply
    104,107.50x = 224,007 × 224,007
  4. Step 4: Simplify right side
    104,107.50x = 50,179,136,049
  5. Step 5: Solve for x
    x = 50,179,136,049/104,107.50
  6. Step 6: Final answer
    x = 481,993.48

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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.