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Finding the Third Proportional to 100,426.50 and 218,880.56

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Solution

The third proportional to 100,426.50 and 218,880.56 is: 477,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,426.50 : 218,880.56 = 218,880.56 : x
  2. Step 2: Convert to fraction form
    100,426.50/218,880.56 = 218,880.56/x
  3. Step 3: Cross multiply
    100,426.50x = 218,880.56 × 218,880.56
  4. Step 4: Simplify right side
    100,426.50x = 47,908,700,640.32
  5. Step 5: Solve for x
    x = 47,908,700,640.32/100,426.50
  6. Step 6: Final answer
    x = 477,052.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.