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Finding the Third Proportional to 99,717 and 213,444

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Solution

The third proportional to 99,717 and 213,444 is: 456,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,717 : 213,444 = 213,444 : x
  2. Step 2: Convert to fraction form
    99,717/213,444 = 213,444/x
  3. Step 3: Cross multiply
    99,717x = 213,444 × 213,444
  4. Step 4: Simplify right side
    99,717x = 45,558,341,136
  5. Step 5: Solve for x
    x = 45,558,341,136/99,717
  6. Step 6: Final answer
    x = 456,876.37

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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.