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Finding the Third Proportional to 166,100,109 and 355,892,103

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Solution

The third proportional to 166,100,109 and 355,892,103 is: 762,547,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,100,109 : 355,892,103 = 355,892,103 : x
  2. Step 2: Convert to fraction form
    166,100,109/355,892,103 = 355,892,103/x
  3. Step 3: Cross multiply
    166,100,109x = 355,892,103 × 355,892,103
  4. Step 4: Simplify right side
    166,100,109x = 126,659,188,977,762,608
  5. Step 5: Solve for x
    x = 126,659,188,977,762,608/166,100,109
  6. Step 6: Final answer
    x = 762,547,295.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.