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Finding the Third Proportional to 104,121.70 and 224,440.88

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Solution

The third proportional to 104,121.70 and 224,440.88 is: 483,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,121.70 : 224,440.88 = 224,440.88 : x
  2. Step 2: Convert to fraction form
    104,121.70/224,440.88 = 224,440.88/x
  3. Step 3: Cross multiply
    104,121.70x = 224,440.88 × 224,440.88
  4. Step 4: Simplify right side
    104,121.70x = 50,373,706,370.77
  5. Step 5: Solve for x
    x = 50,373,706,370.77/104,121.70
  6. Step 6: Final answer
    x = 483,796.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.