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Finding the Third Proportional to 90,145.41 and 194,745.52

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Solution

The third proportional to 90,145.41 and 194,745.52 is: 420,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,145.41 : 194,745.52 = 194,745.52 : x
  2. Step 2: Convert to fraction form
    90,145.41/194,745.52 = 194,745.52/x
  3. Step 3: Cross multiply
    90,145.41x = 194,745.52 × 194,745.52
  4. Step 4: Simplify right side
    90,145.41x = 37,925,815,856.05
  5. Step 5: Solve for x
    x = 37,925,815,856.05/90,145.41
  6. Step 6: Final answer
    x = 420,718.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.