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Finding the Third Proportional to 117,316,839 and 177,485,193

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Solution

The third proportional to 117,316,839 and 177,485,193 is: 268,512,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,316,839 : 177,485,193 = 177,485,193 : x
  2. Step 2: Convert to fraction form
    117,316,839/177,485,193 = 177,485,193/x
  3. Step 3: Cross multiply
    117,316,839x = 177,485,193 × 177,485,193
  4. Step 4: Simplify right side
    117,316,839x = 31,500,993,734,247,248
  5. Step 5: Solve for x
    x = 31,500,993,734,247,248/117,316,839
  6. Step 6: Final answer
    x = 268,512,124.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.