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Finding the Third Proportional to 90,018 and 195,906

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Solution

The third proportional to 90,018 and 195,906 is: 426,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,018 : 195,906 = 195,906 : x
  2. Step 2: Convert to fraction form
    90,018/195,906 = 195,906/x
  3. Step 3: Cross multiply
    90,018x = 195,906 × 195,906
  4. Step 4: Simplify right side
    90,018x = 38,379,160,836
  5. Step 5: Solve for x
    x = 38,379,160,836/90,018
  6. Step 6: Final answer
    x = 426,349.85

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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.