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Finding the Third Proportional to 90,462.03 and 192,947.22

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Solution

The third proportional to 90,462.03 and 192,947.22 is: 411,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,462.03 : 192,947.22 = 192,947.22 : x
  2. Step 2: Convert to fraction form
    90,462.03/192,947.22 = 192,947.22/x
  3. Step 3: Cross multiply
    90,462.03x = 192,947.22 × 192,947.22
  4. Step 4: Simplify right side
    90,462.03x = 37,228,629,977.06
  5. Step 5: Solve for x
    x = 37,228,629,977.06/90,462.03
  6. Step 6: Final answer
    x = 411,538.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.