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Finding the Third Proportional to 75,985,132 and 179,194,042

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Solution

The third proportional to 75,985,132 and 179,194,042 is: 422,589,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,985,132 : 179,194,042 = 179,194,042 : x
  2. Step 2: Convert to fraction form
    75,985,132/179,194,042 = 179,194,042/x
  3. Step 3: Cross multiply
    75,985,132x = 179,194,042 × 179,194,042
  4. Step 4: Simplify right side
    75,985,132x = 32,110,504,688,297,764
  5. Step 5: Solve for x
    x = 32,110,504,688,297,764/75,985,132
  6. Step 6: Final answer
    x = 422,589,312.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.