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Finding the Third Proportional to 103,904,382 and 225,893,876

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Solution

The third proportional to 103,904,382 and 225,893,876 is: 491,105,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,904,382 : 225,893,876 = 225,893,876 : x
  2. Step 2: Convert to fraction form
    103,904,382/225,893,876 = 225,893,876/x
  3. Step 3: Cross multiply
    103,904,382x = 225,893,876 × 225,893,876
  4. Step 4: Simplify right side
    103,904,382x = 51,028,043,214,303,376
  5. Step 5: Solve for x
    x = 51,028,043,214,303,376/103,904,382
  6. Step 6: Final answer
    x = 491,105,786.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.