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Finding the Third Proportional to 92,690 and 202,376

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Solution

The third proportional to 92,690 and 202,376 is: 441,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,690 : 202,376 = 202,376 : x
  2. Step 2: Convert to fraction form
    92,690/202,376 = 202,376/x
  3. Step 3: Cross multiply
    92,690x = 202,376 × 202,376
  4. Step 4: Simplify right side
    92,690x = 40,956,045,376
  5. Step 5: Solve for x
    x = 40,956,045,376/92,690
  6. Step 6: Final answer
    x = 441,860.45

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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.