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Finding the Third Proportional to 41,226.47 and 90,343.41

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Solution

The third proportional to 41,226.47 and 90,343.41 is: 197,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226.47 : 90,343.41 = 90,343.41 : x
  2. Step 2: Convert to fraction form
    41,226.47/90,343.41 = 90,343.41/x
  3. Step 3: Cross multiply
    41,226.47x = 90,343.41 × 90,343.41
  4. Step 4: Simplify right side
    41,226.47x = 8,161,931,052.85
  5. Step 5: Solve for x
    x = 8,161,931,052.85/41,226.47
  6. Step 6: Final answer
    x = 197,977.93

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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.