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Finding the Third Proportional to 118,257,219 and 252,857,478

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Solution

The third proportional to 118,257,219 and 252,857,478 is: 540,659,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,257,219 : 252,857,478 = 252,857,478 : x
  2. Step 2: Convert to fraction form
    118,257,219/252,857,478 = 252,857,478/x
  3. Step 3: Cross multiply
    118,257,219x = 252,857,478 × 252,857,478
  4. Step 4: Simplify right side
    118,257,219x = 63,936,904,180,520,480
  5. Step 5: Solve for x
    x = 63,936,904,180,520,480/118,257,219
  6. Step 6: Final answer
    x = 540,659,629.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.