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Finding the Third Proportional to 91,604.25 and 198,871.88

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Solution

The third proportional to 91,604.25 and 198,871.88 is: 431,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,604.25 : 198,871.88 = 198,871.88 : x
  2. Step 2: Convert to fraction form
    91,604.25/198,871.88 = 198,871.88/x
  3. Step 3: Cross multiply
    91,604.25x = 198,871.88 × 198,871.88
  4. Step 4: Simplify right side
    91,604.25x = 39,550,022,666.02
  5. Step 5: Solve for x
    x = 39,550,022,666.02/91,604.25
  6. Step 6: Final answer
    x = 431,748.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.