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Finding the Third Proportional to 102,183.19 and 224,527.78

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Solution

The third proportional to 102,183.19 and 224,527.78 is: 493,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,183.19 : 224,527.78 = 224,527.78 : x
  2. Step 2: Convert to fraction form
    102,183.19/224,527.78 = 224,527.78/x
  3. Step 3: Cross multiply
    102,183.19x = 224,527.78 × 224,527.78
  4. Step 4: Simplify right side
    102,183.19x = 50,412,724,553.05
  5. Step 5: Solve for x
    x = 50,412,724,553.05/102,183.19
  6. Step 6: Final answer
    x = 493,356.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.