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Finding the Third Proportional to 94,412 and 199,759

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Solution

The third proportional to 94,412 and 199,759 is: 422,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,412 : 199,759 = 199,759 : x
  2. Step 2: Convert to fraction form
    94,412/199,759 = 199,759/x
  3. Step 3: Cross multiply
    94,412x = 199,759 × 199,759
  4. Step 4: Simplify right side
    94,412x = 39,903,658,081
  5. Step 5: Solve for x
    x = 39,903,658,081/94,412
  6. Step 6: Final answer
    x = 422,654.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.