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Finding the Third Proportional to 43,398 and 95,105.25

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Solution

The third proportional to 43,398 and 95,105.25 is: 208,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,398 : 95,105.25 = 95,105.25 : x
  2. Step 2: Convert to fraction form
    43,398/95,105.25 = 95,105.25/x
  3. Step 3: Cross multiply
    43,398x = 95,105.25 × 95,105.25
  4. Step 4: Simplify right side
    43,398x = 9,045,008,577.56
  5. Step 5: Solve for x
    x = 9,045,008,577.56/43,398
  6. Step 6: Final answer
    x = 208,419.94

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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.