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Finding the Third Proportional to 91,269 and 196,119

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Solution

The third proportional to 91,269 and 196,119 is: 421,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,269 : 196,119 = 196,119 : x
  2. Step 2: Convert to fraction form
    91,269/196,119 = 196,119/x
  3. Step 3: Cross multiply
    91,269x = 196,119 × 196,119
  4. Step 4: Simplify right side
    91,269x = 38,462,662,161
  5. Step 5: Solve for x
    x = 38,462,662,161/91,269
  6. Step 6: Final answer
    x = 421,420.88

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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.