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Finding the Third Proportional to 90,663.68 and 197,576.09

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Solution

The third proportional to 90,663.68 and 197,576.09 is: 430,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,663.68 : 197,576.09 = 197,576.09 : x
  2. Step 2: Convert to fraction form
    90,663.68/197,576.09 = 197,576.09/x
  3. Step 3: Cross multiply
    90,663.68x = 197,576.09 × 197,576.09
  4. Step 4: Simplify right side
    90,663.68x = 39,036,309,734.38
  5. Step 5: Solve for x
    x = 39,036,309,734.38/90,663.68
  6. Step 6: Final answer
    x = 430,561.72

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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.