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Finding the Third Proportional to 90,620 and 195,819.50

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Solution

The third proportional to 90,620 and 195,819.50 is: 423,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,620 : 195,819.50 = 195,819.50 : x
  2. Step 2: Convert to fraction form
    90,620/195,819.50 = 195,819.50/x
  3. Step 3: Cross multiply
    90,620x = 195,819.50 × 195,819.50
  4. Step 4: Simplify right side
    90,620x = 38,345,276,580.25
  5. Step 5: Solve for x
    x = 38,345,276,580.25/90,620
  6. Step 6: Final answer
    x = 423,143.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.