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Finding the Third Proportional to 90,615 and 196,163.50

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Solution

The third proportional to 90,615 and 196,163.50 is: 424,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,615 : 196,163.50 = 196,163.50 : x
  2. Step 2: Convert to fraction form
    90,615/196,163.50 = 196,163.50/x
  3. Step 3: Cross multiply
    90,615x = 196,163.50 × 196,163.50
  4. Step 4: Simplify right side
    90,615x = 38,480,118,732.25
  5. Step 5: Solve for x
    x = 38,480,118,732.25/90,615
  6. Step 6: Final answer
    x = 424,655.07

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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.