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Finding the Third Proportional to 172,395,810 and 267,677,358

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Solution

The third proportional to 172,395,810 and 267,677,358 is: 415,620,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,395,810 : 267,677,358 = 267,677,358 : x
  2. Step 2: Convert to fraction form
    172,395,810/267,677,358 = 267,677,358/x
  3. Step 3: Cross multiply
    172,395,810x = 267,677,358 × 267,677,358
  4. Step 4: Simplify right side
    172,395,810x = 71,651,167,985,860,160
  5. Step 5: Solve for x
    x = 71,651,167,985,860,160/172,395,810
  6. Step 6: Final answer
    x = 415,620,124.33

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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.