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Finding the Third Proportional to 94,149 and 196,074

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Solution

The third proportional to 94,149 and 196,074 is: 408,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,149 : 196,074 = 196,074 : x
  2. Step 2: Convert to fraction form
    94,149/196,074 = 196,074/x
  3. Step 3: Cross multiply
    94,149x = 196,074 × 196,074
  4. Step 4: Simplify right side
    94,149x = 38,445,013,476
  5. Step 5: Solve for x
    x = 38,445,013,476/94,149
  6. Step 6: Final answer
    x = 408,342.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.