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Finding the Third Proportional to 104,964.19 and 224,902.69

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Solution

The third proportional to 104,964.19 and 224,902.69 is: 481,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,964.19 : 224,902.69 = 224,902.69 : x
  2. Step 2: Convert to fraction form
    104,964.19/224,902.69 = 224,902.69/x
  3. Step 3: Cross multiply
    104,964.19x = 224,902.69 × 224,902.69
  4. Step 4: Simplify right side
    104,964.19x = 50,581,218,844.72
  5. Step 5: Solve for x
    x = 50,581,218,844.72/104,964.19
  6. Step 6: Final answer
    x = 481,890.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.