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Finding the Third Proportional to 238,521,882 and 504,545,013

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Solution

The third proportional to 238,521,882 and 504,545,013 is: 1,067,263,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,521,882 : 504,545,013 = 504,545,013 : x
  2. Step 2: Convert to fraction form
    238,521,882/504,545,013 = 504,545,013/x
  3. Step 3: Cross multiply
    238,521,882x = 504,545,013 × 504,545,013
  4. Step 4: Simplify right side
    238,521,882x = 254,565,670,143,170,176
  5. Step 5: Solve for x
    x = 254,565,670,143,170,176/238,521,882
  6. Step 6: Final answer
    x = 1,067,263,380.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.