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Finding the Third Proportional to 117,156,749 and 251,945,144

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Solution

The third proportional to 117,156,749 and 251,945,144 is: 541,807,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,156,749 : 251,945,144 = 251,945,144 : x
  2. Step 2: Convert to fraction form
    117,156,749/251,945,144 = 251,945,144/x
  3. Step 3: Cross multiply
    117,156,749x = 251,945,144 × 251,945,144
  4. Step 4: Simplify right side
    117,156,749x = 63,476,355,585,180,736
  5. Step 5: Solve for x
    x = 63,476,355,585,180,736/117,156,749
  6. Step 6: Final answer
    x = 541,807,075.79

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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.