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Finding the Third Proportional to 94,462 and 199,586

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Solution

The third proportional to 94,462 and 199,586 is: 421,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,462 : 199,586 = 199,586 : x
  2. Step 2: Convert to fraction form
    94,462/199,586 = 199,586/x
  3. Step 3: Cross multiply
    94,462x = 199,586 × 199,586
  4. Step 4: Simplify right side
    94,462x = 39,834,571,396
  5. Step 5: Solve for x
    x = 39,834,571,396/94,462
  6. Step 6: Final answer
    x = 421,699.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.