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Finding the Third Proportional to 91,614 and 197,079

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Solution

The third proportional to 91,614 and 197,079 is: 423,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,614 : 197,079 = 197,079 : x
  2. Step 2: Convert to fraction form
    91,614/197,079 = 197,079/x
  3. Step 3: Cross multiply
    91,614x = 197,079 × 197,079
  4. Step 4: Simplify right side
    91,614x = 38,840,132,241
  5. Step 5: Solve for x
    x = 38,840,132,241/91,614
  6. Step 6: Final answer
    x = 423,954.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.