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Finding the Third Proportional to 151,328,296 and 325,865,696

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Solution

The third proportional to 151,328,296 and 325,865,696 is: 701,709,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,328,296 : 325,865,696 = 325,865,696 : x
  2. Step 2: Convert to fraction form
    151,328,296/325,865,696 = 325,865,696/x
  3. Step 3: Cross multiply
    151,328,296x = 325,865,696 × 325,865,696
  4. Step 4: Simplify right side
    151,328,296x = 106,188,451,829,564,416
  5. Step 5: Solve for x
    x = 106,188,451,829,564,416/151,328,296
  6. Step 6: Final answer
    x = 701,709,162.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.