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Finding the Third Proportional to 90,015 and 195,900

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Solution

The third proportional to 90,015 and 195,900 is: 426,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,015 : 195,900 = 195,900 : x
  2. Step 2: Convert to fraction form
    90,015/195,900 = 195,900/x
  3. Step 3: Cross multiply
    90,015x = 195,900 × 195,900
  4. Step 4: Simplify right side
    90,015x = 38,376,810,000
  5. Step 5: Solve for x
    x = 38,376,810,000/90,015
  6. Step 6: Final answer
    x = 426,337.94

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