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Finding the Third Proportional to 90,563.06 and 196,685.72

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Solution

The third proportional to 90,563.06 and 196,685.72 is: 427,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,563.06 : 196,685.72 = 196,685.72 : x
  2. Step 2: Convert to fraction form
    90,563.06/196,685.72 = 196,685.72/x
  3. Step 3: Cross multiply
    90,563.06x = 196,685.72 × 196,685.72
  4. Step 4: Simplify right side
    90,563.06x = 38,685,271,960.20
  5. Step 5: Solve for x
    x = 38,685,271,960.20/90,563.06
  6. Step 6: Final answer
    x = 427,163.91

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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.