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Finding the Third Proportional to 161,734,144 and 381,799,424

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Solution

The third proportional to 161,734,144 and 381,799,424 is: 901,298,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,734,144 : 381,799,424 = 381,799,424 : x
  2. Step 2: Convert to fraction form
    161,734,144/381,799,424 = 381,799,424/x
  3. Step 3: Cross multiply
    161,734,144x = 381,799,424 × 381,799,424
  4. Step 4: Simplify right side
    161,734,144x = 145,770,800,166,731,776
  5. Step 5: Solve for x
    x = 145,770,800,166,731,776/161,734,144
  6. Step 6: Final answer
    x = 901,298,863.44

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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.