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Finding the Third Proportional to 91,990.69 and 197,171.72

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Solution

The third proportional to 91,990.69 and 197,171.72 is: 422,615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,990.69 : 197,171.72 = 197,171.72 : x
  2. Step 2: Convert to fraction form
    91,990.69/197,171.72 = 197,171.72/x
  3. Step 3: Cross multiply
    91,990.69x = 197,171.72 × 197,171.72
  4. Step 4: Simplify right side
    91,990.69x = 38,876,686,674.83
  5. Step 5: Solve for x
    x = 38,876,686,674.83/91,990.69
  6. Step 6: Final answer
    x = 422,615.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.