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Finding the Third Proportional to 101,972.81 and 224,334.56

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Solution

The third proportional to 101,972.81 and 224,334.56 is: 493,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972.81 : 224,334.56 = 224,334.56 : x
  2. Step 2: Convert to fraction form
    101,972.81/224,334.56 = 224,334.56/x
  3. Step 3: Cross multiply
    101,972.81x = 224,334.56 × 224,334.56
  4. Step 4: Simplify right side
    101,972.81x = 50,325,995,932.07
  5. Step 5: Solve for x
    x = 50,325,995,932.07/101,972.81
  6. Step 6: Final answer
    x = 493,523.66

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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.