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Finding the Third Proportional to 96,453 and 150,201

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Solution

The third proportional to 96,453 and 150,201 is: 233,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,453 : 150,201 = 150,201 : x
  2. Step 2: Convert to fraction form
    96,453/150,201 = 150,201/x
  3. Step 3: Cross multiply
    96,453x = 150,201 × 150,201
  4. Step 4: Simplify right side
    96,453x = 22,560,340,401
  5. Step 5: Solve for x
    x = 22,560,340,401/96,453
  6. Step 6: Final answer
    x = 233,899.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.