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Finding the Third Proportional to 211,096.13 and 315,591.19

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Solution

The third proportional to 211,096.13 and 315,591.19 is: 471,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,096.13 : 315,591.19 = 315,591.19 : x
  2. Step 2: Convert to fraction form
    211,096.13/315,591.19 = 315,591.19/x
  3. Step 3: Cross multiply
    211,096.13x = 315,591.19 × 315,591.19
  4. Step 4: Simplify right side
    211,096.13x = 99,597,797,627.66
  5. Step 5: Solve for x
    x = 99,597,797,627.66/211,096.13
  6. Step 6: Final answer
    x = 471,812.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.