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Finding the Third Proportional to 92,694 and 202,378

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Solution

The third proportional to 92,694 and 202,378 is: 441,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,694 : 202,378 = 202,378 : x
  2. Step 2: Convert to fraction form
    92,694/202,378 = 202,378/x
  3. Step 3: Cross multiply
    92,694x = 202,378 × 202,378
  4. Step 4: Simplify right side
    92,694x = 40,956,854,884
  5. Step 5: Solve for x
    x = 40,956,854,884/92,694
  6. Step 6: Final answer
    x = 441,850.12

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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.