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Finding the Third Proportional to 104,170.57 and 227,270.67

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Solution

The third proportional to 104,170.57 and 227,270.67 is: 495,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,170.57 : 227,270.67 = 227,270.67 : x
  2. Step 2: Convert to fraction form
    104,170.57/227,270.67 = 227,270.67/x
  3. Step 3: Cross multiply
    104,170.57x = 227,270.67 × 227,270.67
  4. Step 4: Simplify right side
    104,170.57x = 51,651,958,294.51
  5. Step 5: Solve for x
    x = 51,651,958,294.51/104,170.57
  6. Step 6: Final answer
    x = 495,840.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.