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Finding the Third Proportional to 96,380.44 and 208,850.06

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Solution

The third proportional to 96,380.44 and 208,850.06 is: 452,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,380.44 : 208,850.06 = 208,850.06 : x
  2. Step 2: Convert to fraction form
    96,380.44/208,850.06 = 208,850.06/x
  3. Step 3: Cross multiply
    96,380.44x = 208,850.06 × 208,850.06
  4. Step 4: Simplify right side
    96,380.44x = 43,618,348,606.25
  5. Step 5: Solve for x
    x = 43,618,348,606.25/96,380.44
  6. Step 6: Final answer
    x = 452,564.34

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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.