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Finding the Third Proportional to 96,433 and 208,903

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Solution

The third proportional to 96,433 and 208,903 is: 452,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,433 : 208,903 = 208,903 : x
  2. Step 2: Convert to fraction form
    96,433/208,903 = 208,903/x
  3. Step 3: Cross multiply
    96,433x = 208,903 × 208,903
  4. Step 4: Simplify right side
    96,433x = 43,640,463,409
  5. Step 5: Solve for x
    x = 43,640,463,409/96,433
  6. Step 6: Final answer
    x = 452,546.99

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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.