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Finding the Third Proportional to 206,361.11 and 451,803.45

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Solution

The third proportional to 206,361.11 and 451,803.45 is: 989,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,361.11 : 451,803.45 = 451,803.45 : x
  2. Step 2: Convert to fraction form
    206,361.11/451,803.45 = 451,803.45/x
  3. Step 3: Cross multiply
    206,361.11x = 451,803.45 × 451,803.45
  4. Step 4: Simplify right side
    206,361.11x = 204,126,353,196.25
  5. Step 5: Solve for x
    x = 204,126,353,196.25/206,361.11
  6. Step 6: Final answer
    x = 989,170.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.