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Finding the Third Proportional to 168,353,073 and 361,769,166

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Solution

The third proportional to 168,353,073 and 361,769,166 is: 777,395,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,353,073 : 361,769,166 = 361,769,166 : x
  2. Step 2: Convert to fraction form
    168,353,073/361,769,166 = 361,769,166/x
  3. Step 3: Cross multiply
    168,353,073x = 361,769,166 × 361,769,166
  4. Step 4: Simplify right side
    168,353,073x = 130,876,929,468,335,552
  5. Step 5: Solve for x
    x = 130,876,929,468,335,552/168,353,073
  6. Step 6: Final answer
    x = 777,395,548.15

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Why These Related Problems?

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