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Finding the Third Proportional to 96,003 and 213,315

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Solution

The third proportional to 96,003 and 213,315 is: 473,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,003 : 213,315 = 213,315 : x
  2. Step 2: Convert to fraction form
    96,003/213,315 = 213,315/x
  3. Step 3: Cross multiply
    96,003x = 213,315 × 213,315
  4. Step 4: Simplify right side
    96,003x = 45,503,289,225
  5. Step 5: Solve for x
    x = 45,503,289,225/96,003
  6. Step 6: Final answer
    x = 473,977.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.