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Finding the Third Proportional to 150,229,282 and 316,598,624

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Solution

The third proportional to 150,229,282 and 316,598,624 is: 667,211,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,229,282 : 316,598,624 = 316,598,624 : x
  2. Step 2: Convert to fraction form
    150,229,282/316,598,624 = 316,598,624/x
  3. Step 3: Cross multiply
    150,229,282x = 316,598,624 × 316,598,624
  4. Step 4: Simplify right side
    150,229,282x = 100,234,688,718,693,376
  5. Step 5: Solve for x
    x = 100,234,688,718,693,376/150,229,282
  6. Step 6: Final answer
    x = 667,211,394.37

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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.