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Finding the Third Proportional to 107,490.38 and 212,334.75

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Solution

The third proportional to 107,490.38 and 212,334.75 is: 419,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,490.38 : 212,334.75 = 212,334.75 : x
  2. Step 2: Convert to fraction form
    107,490.38/212,334.75 = 212,334.75/x
  3. Step 3: Cross multiply
    107,490.38x = 212,334.75 × 212,334.75
  4. Step 4: Simplify right side
    107,490.38x = 45,086,046,057.56
  5. Step 5: Solve for x
    x = 45,086,046,057.56/107,490.38
  6. Step 6: Final answer
    x = 419,442.63

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.