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Finding the Third Proportional to 90,164.50 and 195,881

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Solution

The third proportional to 90,164.50 and 195,881 is: 425,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,164.50 : 195,881 = 195,881 : x
  2. Step 2: Convert to fraction form
    90,164.50/195,881 = 195,881/x
  3. Step 3: Cross multiply
    90,164.50x = 195,881 × 195,881
  4. Step 4: Simplify right side
    90,164.50x = 38,369,366,161
  5. Step 5: Solve for x
    x = 38,369,366,161/90,164.50
  6. Step 6: Final answer
    x = 425,548.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.