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Finding the Third Proportional to 91,870 and 196,860

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Solution

The third proportional to 91,870 and 196,860 is: 421,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,870 : 196,860 = 196,860 : x
  2. Step 2: Convert to fraction form
    91,870/196,860 = 196,860/x
  3. Step 3: Cross multiply
    91,870x = 196,860 × 196,860
  4. Step 4: Simplify right side
    91,870x = 38,753,859,600
  5. Step 5: Solve for x
    x = 38,753,859,600/91,870
  6. Step 6: Final answer
    x = 421,833.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.