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Finding the Third Proportional to 115,391,008,896 and 250,645,930,296

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Solution

The third proportional to 115,391,008,896 and 250,645,930,296 is: 544,439,146,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,391,008,896 : 250,645,930,296 = 250,645,930,296 : x
  2. Step 2: Convert to fraction form
    115,391,008,896/250,645,930,296 = 250,645,930,296/x
  3. Step 3: Cross multiply
    115,391,008,896x = 250,645,930,296 × 250,645,930,296
  4. Step 4: Simplify right side
    115,391,008,896x = 62,823,382,373,947,293,040,640
  5. Step 5: Solve for x
    x = 62,823,382,373,947,293,040,640/115,391,008,896
  6. Step 6: Final answer
    x = 544,439,146,299.25

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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.