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Finding the Third Proportional to 150,229,286 and 316,598,632

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Solution

The third proportional to 150,229,286 and 316,598,632 is: 667,211,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,229,286 : 316,598,632 = 316,598,632 : x
  2. Step 2: Convert to fraction form
    150,229,286/316,598,632 = 316,598,632/x
  3. Step 3: Cross multiply
    150,229,286x = 316,598,632 × 316,598,632
  4. Step 4: Simplify right side
    150,229,286x = 100,234,693,784,271,424
  5. Step 5: Solve for x
    x = 100,234,693,784,271,424/150,229,286
  6. Step 6: Final answer
    x = 667,211,410.33

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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.