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Finding the Third Proportional to 172,755,618.75 and 264,907,486.13

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Solution

The third proportional to 172,755,618.75 and 264,907,486.13 is: 406,215,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,755,618.75 : 264,907,486.13 = 264,907,486.13 : x
  2. Step 2: Convert to fraction form
    172,755,618.75/264,907,486.13 = 264,907,486.13/x
  3. Step 3: Cross multiply
    172,755,618.75x = 264,907,486.13 × 264,907,486.13
  4. Step 4: Simplify right side
    172,755,618.75x = 70,175,976,205,067,064
  5. Step 5: Solve for x
    x = 70,175,976,205,067,064/172,755,618.75
  6. Step 6: Final answer
    x = 406,215,304.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.