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Finding the Third Proportional to 172,395,747 and 267,677,256

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Solution

The third proportional to 172,395,747 and 267,677,256 is: 415,619,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,395,747 : 267,677,256 = 267,677,256 : x
  2. Step 2: Convert to fraction form
    172,395,747/267,677,256 = 267,677,256/x
  3. Step 3: Cross multiply
    172,395,747x = 267,677,256 × 267,677,256
  4. Step 4: Simplify right side
    172,395,747x = 71,651,113,379,689,536
  5. Step 5: Solve for x
    x = 71,651,113,379,689,536/172,395,747
  6. Step 6: Final answer
    x = 415,619,959.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.