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Finding the Third Proportional to 92,620 and 202,366

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Solution

The third proportional to 92,620 and 202,366 is: 442,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,620 : 202,366 = 202,366 : x
  2. Step 2: Convert to fraction form
    92,620/202,366 = 202,366/x
  3. Step 3: Cross multiply
    92,620x = 202,366 × 202,366
  4. Step 4: Simplify right side
    92,620x = 40,951,997,956
  5. Step 5: Solve for x
    x = 40,951,997,956/92,620
  6. Step 6: Final answer
    x = 442,150.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.