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Finding the Third Proportional to 208,859,658 and 452,431,380

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Solution

The third proportional to 208,859,658 and 452,431,380 is: 980,055,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859,658 : 452,431,380 = 452,431,380 : x
  2. Step 2: Convert to fraction form
    208,859,658/452,431,380 = 452,431,380/x
  3. Step 3: Cross multiply
    208,859,658x = 452,431,380 × 452,431,380
  4. Step 4: Simplify right side
    208,859,658x = 204,694,153,608,704,384
  5. Step 5: Solve for x
    x = 204,694,153,608,704,384/208,859,658
  6. Step 6: Final answer
    x = 980,055,964.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.