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Finding the Third Proportional to 179,701,512 and 256,797,624

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Solution

The third proportional to 179,701,512 and 256,797,624 is: 366,969,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,701,512 : 256,797,624 = 256,797,624 : x
  2. Step 2: Convert to fraction form
    179,701,512/256,797,624 = 256,797,624/x
  3. Step 3: Cross multiply
    179,701,512x = 256,797,624 × 256,797,624
  4. Step 4: Simplify right side
    179,701,512x = 65,945,019,692,045,376
  5. Step 5: Solve for x
    x = 65,945,019,692,045,376/179,701,512
  6. Step 6: Final answer
    x = 366,969,754.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.