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Finding the Third Proportional to 99,093 and 217,869

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Solution

The third proportional to 99,093 and 217,869 is: 479,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,093 : 217,869 = 217,869 : x
  2. Step 2: Convert to fraction form
    99,093/217,869 = 217,869/x
  3. Step 3: Cross multiply
    99,093x = 217,869 × 217,869
  4. Step 4: Simplify right side
    99,093x = 47,466,901,161
  5. Step 5: Solve for x
    x = 47,466,901,161/99,093
  6. Step 6: Final answer
    x = 479,013.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.