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Finding the Third Proportional to 91,232 and 196,048

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Solution

The third proportional to 91,232 and 196,048 is: 421,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,232 : 196,048 = 196,048 : x
  2. Step 2: Convert to fraction form
    91,232/196,048 = 196,048/x
  3. Step 3: Cross multiply
    91,232x = 196,048 × 196,048
  4. Step 4: Simplify right side
    91,232x = 38,434,818,304
  5. Step 5: Solve for x
    x = 38,434,818,304/91,232
  6. Step 6: Final answer
    x = 421,286.59

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