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Finding the Third Proportional to 172,274,524 and 264,797,826

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Solution

The third proportional to 172,274,524 and 264,797,826 is: 407,012,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,274,524 : 264,797,826 = 264,797,826 : x
  2. Step 2: Convert to fraction form
    172,274,524/264,797,826 = 264,797,826/x
  3. Step 3: Cross multiply
    172,274,524x = 264,797,826 × 264,797,826
  4. Step 4: Simplify right side
    172,274,524x = 70,117,888,654,326,272
  5. Step 5: Solve for x
    x = 70,117,888,654,326,272/172,274,524
  6. Step 6: Final answer
    x = 407,012,522.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.