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Finding the Third Proportional to 97,796 and 206,105

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Solution

The third proportional to 97,796 and 206,105 is: 434,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,796 : 206,105 = 206,105 : x
  2. Step 2: Convert to fraction form
    97,796/206,105 = 206,105/x
  3. Step 3: Cross multiply
    97,796x = 206,105 × 206,105
  4. Step 4: Simplify right side
    97,796x = 42,479,271,025
  5. Step 5: Solve for x
    x = 42,479,271,025/97,796
  6. Step 6: Final answer
    x = 434,366.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.