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Finding the Third Proportional to 172,274,531 and 264,797,836

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Solution

The third proportional to 172,274,531 and 264,797,836 is: 407,012,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,274,531 : 264,797,836 = 264,797,836 : x
  2. Step 2: Convert to fraction form
    172,274,531/264,797,836 = 264,797,836/x
  3. Step 3: Cross multiply
    172,274,531x = 264,797,836 × 264,797,836
  4. Step 4: Simplify right side
    172,274,531x = 70,117,893,950,282,896
  5. Step 5: Solve for x
    x = 70,117,893,950,282,896/172,274,531
  6. Step 6: Final answer
    x = 407,012,537.16

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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.