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Finding the Third Proportional to 92,486 and 202,094

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Solution

The third proportional to 92,486 and 202,094 is: 441,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,486 : 202,094 = 202,094 : x
  2. Step 2: Convert to fraction form
    92,486/202,094 = 202,094/x
  3. Step 3: Cross multiply
    92,486x = 202,094 × 202,094
  4. Step 4: Simplify right side
    92,486x = 40,841,984,836
  5. Step 5: Solve for x
    x = 40,841,984,836/92,486
  6. Step 6: Final answer
    x = 441,601.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.