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Finding the Third Proportional to 96,660 and 196,047

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Solution

The third proportional to 96,660 and 196,047 is: 397,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,660 : 196,047 = 196,047 : x
  2. Step 2: Convert to fraction form
    96,660/196,047 = 196,047/x
  3. Step 3: Cross multiply
    96,660x = 196,047 × 196,047
  4. Step 4: Simplify right side
    96,660x = 38,434,426,209
  5. Step 5: Solve for x
    x = 38,434,426,209/96,660
  6. Step 6: Final answer
    x = 397,624.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.