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Finding the Third Proportional to 117,317,013 and 177,485,479.50

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Solution

The third proportional to 117,317,013 and 177,485,479.50 is: 268,512,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,317,013 : 177,485,479.50 = 177,485,479.50 : x
  2. Step 2: Convert to fraction form
    117,317,013/177,485,479.50 = 177,485,479.50/x
  3. Step 3: Cross multiply
    117,317,013x = 177,485,479.50 × 177,485,479.50
  4. Step 4: Simplify right side
    117,317,013x = 31,501,095,433,344,920
  5. Step 5: Solve for x
    x = 31,501,095,433,344,920/117,317,013
  6. Step 6: Final answer
    x = 268,512,593.59

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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.