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Finding the Third Proportional to 92,513 and 199,059

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Solution

The third proportional to 92,513 and 199,059 is: 428,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,513 : 199,059 = 199,059 : x
  2. Step 2: Convert to fraction form
    92,513/199,059 = 199,059/x
  3. Step 3: Cross multiply
    92,513x = 199,059 × 199,059
  4. Step 4: Simplify right side
    92,513x = 39,624,485,481
  5. Step 5: Solve for x
    x = 39,624,485,481/92,513
  6. Step 6: Final answer
    x = 428,312.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.