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Finding the Third Proportional to 101,971.41 and 224,332.03

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Solution

The third proportional to 101,971.41 and 224,332.03 is: 493,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,971.41 : 224,332.03 = 224,332.03 : x
  2. Step 2: Convert to fraction form
    101,971.41/224,332.03 = 224,332.03/x
  3. Step 3: Cross multiply
    101,971.41x = 224,332.03 × 224,332.03
  4. Step 4: Simplify right side
    101,971.41x = 50,324,860,244.75
  5. Step 5: Solve for x
    x = 50,324,860,244.75/101,971.41
  6. Step 6: Final answer
    x = 493,519.33

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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.