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Finding the Third Proportional to 99,204 and 214,089

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Solution

The third proportional to 99,204 and 214,089 is: 462,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,204 : 214,089 = 214,089 : x
  2. Step 2: Convert to fraction form
    99,204/214,089 = 214,089/x
  3. Step 3: Cross multiply
    99,204x = 214,089 × 214,089
  4. Step 4: Simplify right side
    99,204x = 45,834,099,921
  5. Step 5: Solve for x
    x = 45,834,099,921/99,204
  6. Step 6: Final answer
    x = 462,018.67

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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.