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Finding the Third Proportional to 238,376,864 and 364,496,304

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Solution

The third proportional to 238,376,864 and 364,496,304 is: 557,342,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,376,864 : 364,496,304 = 364,496,304 : x
  2. Step 2: Convert to fraction form
    238,376,864/364,496,304 = 364,496,304/x
  3. Step 3: Cross multiply
    238,376,864x = 364,496,304 × 364,496,304
  4. Step 4: Simplify right side
    238,376,864x = 132,857,555,629,660,416
  5. Step 5: Solve for x
    x = 132,857,555,629,660,416/238,376,864
  6. Step 6: Final answer
    x = 557,342,492.89

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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.