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Finding the Third Proportional to 101,872.69 and 224,137.13

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Solution

The third proportional to 101,872.69 and 224,137.13 is: 493,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.69 : 224,137.13 = 224,137.13 : x
  2. Step 2: Convert to fraction form
    101,872.69/224,137.13 = 224,137.13/x
  3. Step 3: Cross multiply
    101,872.69x = 224,137.13 × 224,137.13
  4. Step 4: Simplify right side
    101,872.69x = 50,237,450,803.27
  5. Step 5: Solve for x
    x = 50,237,450,803.27/101,872.69
  6. Step 6: Final answer
    x = 493,139.55

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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.