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Finding the Third Proportional to 91,704 and 199,538

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Solution

The third proportional to 91,704 and 199,538 is: 434,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,704 : 199,538 = 199,538 : x
  2. Step 2: Convert to fraction form
    91,704/199,538 = 199,538/x
  3. Step 3: Cross multiply
    91,704x = 199,538 × 199,538
  4. Step 4: Simplify right side
    91,704x = 39,815,413,444
  5. Step 5: Solve for x
    x = 39,815,413,444/91,704
  6. Step 6: Final answer
    x = 434,173.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.