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Finding the Third Proportional to 76,418,183 and 167,849,032

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Solution

The third proportional to 76,418,183 and 167,849,032 is: 368,672,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,418,183 : 167,849,032 = 167,849,032 : x
  2. Step 2: Convert to fraction form
    76,418,183/167,849,032 = 167,849,032/x
  3. Step 3: Cross multiply
    76,418,183x = 167,849,032 × 167,849,032
  4. Step 4: Simplify right side
    76,418,183x = 28,173,297,543,337,024
  5. Step 5: Solve for x
    x = 28,173,297,543,337,024/76,418,183
  6. Step 6: Final answer
    x = 368,672,695.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.