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Finding the Third Proportional to 178,031,601 and 375,192,162

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Solution

The third proportional to 178,031,601 and 375,192,162 is: 790,697,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,031,601 : 375,192,162 = 375,192,162 : x
  2. Step 2: Convert to fraction form
    178,031,601/375,192,162 = 375,192,162/x
  3. Step 3: Cross multiply
    178,031,601x = 375,192,162 × 375,192,162
  4. Step 4: Simplify right side
    178,031,601x = 140,769,158,426,234,240
  5. Step 5: Solve for x
    x = 140,769,158,426,234,240/178,031,601
  6. Step 6: Final answer
    x = 790,697,593.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.