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Finding the Third Proportional to 179,701,560 and 256,797,696

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Solution

The third proportional to 179,701,560 and 256,797,696 is: 366,969,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,701,560 : 256,797,696 = 256,797,696 : x
  2. Step 2: Convert to fraction form
    179,701,560/256,797,696 = 256,797,696/x
  3. Step 3: Cross multiply
    179,701,560x = 256,797,696 × 256,797,696
  4. Step 4: Simplify right side
    179,701,560x = 65,945,056,670,908,416
  5. Step 5: Solve for x
    x = 65,945,056,670,908,416/179,701,560
  6. Step 6: Final answer
    x = 366,969,861.98

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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.