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Finding the Third Proportional to 101,125.97 and 219,896.02

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Solution

The third proportional to 101,125.97 and 219,896.02 is: 478,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,125.97 : 219,896.02 = 219,896.02 : x
  2. Step 2: Convert to fraction form
    101,125.97/219,896.02 = 219,896.02/x
  3. Step 3: Cross multiply
    101,125.97x = 219,896.02 × 219,896.02
  4. Step 4: Simplify right side
    101,125.97x = 48,354,257,687.75
  5. Step 5: Solve for x
    x = 48,354,257,687.75/101,125.97
  6. Step 6: Final answer
    x = 478,158.66

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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.