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Finding the Third Proportional to 99,942 and 214,098

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Solution

The third proportional to 99,942 and 214,098 is: 458,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,942 : 214,098 = 214,098 : x
  2. Step 2: Convert to fraction form
    99,942/214,098 = 214,098/x
  3. Step 3: Cross multiply
    99,942x = 214,098 × 214,098
  4. Step 4: Simplify right side
    99,942x = 45,837,953,604
  5. Step 5: Solve for x
    x = 45,837,953,604/99,942
  6. Step 6: Final answer
    x = 458,645.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.