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Finding the Third Proportional to 90,841.50 and 215,439.75

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Solution

The third proportional to 90,841.50 and 215,439.75 is: 510,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,841.50 : 215,439.75 = 215,439.75 : x
  2. Step 2: Convert to fraction form
    90,841.50/215,439.75 = 215,439.75/x
  3. Step 3: Cross multiply
    90,841.50x = 215,439.75 × 215,439.75
  4. Step 4: Simplify right side
    90,841.50x = 46,414,285,880.06
  5. Step 5: Solve for x
    x = 46,414,285,880.06/90,841.50
  6. Step 6: Final answer
    x = 510,937.03

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.