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Finding the Third Proportional to 111,448.41 and 217,315.41

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Solution

The third proportional to 111,448.41 and 217,315.41 is: 423,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,448.41 : 217,315.41 = 217,315.41 : x
  2. Step 2: Convert to fraction form
    111,448.41/217,315.41 = 217,315.41/x
  3. Step 3: Cross multiply
    111,448.41x = 217,315.41 × 217,315.41
  4. Step 4: Simplify right side
    111,448.41x = 47,225,985,793.60
  5. Step 5: Solve for x
    x = 47,225,985,793.60/111,448.41
  6. Step 6: Final answer
    x = 423,747.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.