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Finding the Third Proportional to 92,390 and 199,028

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Solution

The third proportional to 92,390 and 199,028 is: 428,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,390 : 199,028 = 199,028 : x
  2. Step 2: Convert to fraction form
    92,390/199,028 = 199,028/x
  3. Step 3: Cross multiply
    92,390x = 199,028 × 199,028
  4. Step 4: Simplify right side
    92,390x = 39,612,144,784
  5. Step 5: Solve for x
    x = 39,612,144,784/92,390
  6. Step 6: Final answer
    x = 428,749.27

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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.