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Finding the Third Proportional to 179,327,552 and 284,004,192

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Solution

The third proportional to 179,327,552 and 284,004,192 is: 449,782,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,327,552 : 284,004,192 = 284,004,192 : x
  2. Step 2: Convert to fraction form
    179,327,552/284,004,192 = 284,004,192/x
  3. Step 3: Cross multiply
    179,327,552x = 284,004,192 × 284,004,192
  4. Step 4: Simplify right side
    179,327,552x = 80,658,381,073,572,864
  5. Step 5: Solve for x
    x = 80,658,381,073,572,864/179,327,552
  6. Step 6: Final answer
    x = 449,782,424.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.