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Finding the Third Proportional to 129,215,314 and 283,537,116

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Solution

The third proportional to 129,215,314 and 283,537,116 is: 622,165,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215,314 : 283,537,116 = 283,537,116 : x
  2. Step 2: Convert to fraction form
    129,215,314/283,537,116 = 283,537,116/x
  3. Step 3: Cross multiply
    129,215,314x = 283,537,116 × 283,537,116
  4. Step 4: Simplify right side
    129,215,314x = 80,393,296,149,597,456
  5. Step 5: Solve for x
    x = 80,393,296,149,597,456/129,215,314
  6. Step 6: Final answer
    x = 622,165,389.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.