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Finding the Third Proportional to 97,760.67 and 214,201.97

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Solution

The third proportional to 97,760.67 and 214,201.97 is: 469,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,760.67 : 214,201.97 = 214,201.97 : x
  2. Step 2: Convert to fraction form
    97,760.67/214,201.97 = 214,201.97/x
  3. Step 3: Cross multiply
    97,760.67x = 214,201.97 × 214,201.97
  4. Step 4: Simplify right side
    97,760.67x = 45,882,483,416.38
  5. Step 5: Solve for x
    x = 45,882,483,416.38/97,760.67
  6. Step 6: Final answer
    x = 469,334.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.