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Finding the Third Proportional to 97,015.22 and 208,785.09

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Solution

The third proportional to 97,015.22 and 208,785.09 is: 449,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,015.22 : 208,785.09 = 208,785.09 : x
  2. Step 2: Convert to fraction form
    97,015.22/208,785.09 = 208,785.09/x
  3. Step 3: Cross multiply
    97,015.22x = 208,785.09 × 208,785.09
  4. Step 4: Simplify right side
    97,015.22x = 43,591,215,372.20
  5. Step 5: Solve for x
    x = 43,591,215,372.20/97,015.22
  6. Step 6: Final answer
    x = 449,323.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.