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Finding the Third Proportional to 99,018 and 213,652

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Solution

The third proportional to 99,018 and 213,652 is: 460,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,018 : 213,652 = 213,652 : x
  2. Step 2: Convert to fraction form
    99,018/213,652 = 213,652/x
  3. Step 3: Cross multiply
    99,018x = 213,652 × 213,652
  4. Step 4: Simplify right side
    99,018x = 45,647,177,104
  5. Step 5: Solve for x
    x = 45,647,177,104/99,018
  6. Step 6: Final answer
    x = 460,998.78

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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.