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Finding the Third Proportional to 193,077,918 and 422,251,380

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Solution

The third proportional to 193,077,918 and 422,251,380 is: 923,441,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,077,918 : 422,251,380 = 422,251,380 : x
  2. Step 2: Convert to fraction form
    193,077,918/422,251,380 = 422,251,380/x
  3. Step 3: Cross multiply
    193,077,918x = 422,251,380 × 422,251,380
  4. Step 4: Simplify right side
    193,077,918x = 178,296,227,911,904,384
  5. Step 5: Solve for x
    x = 178,296,227,911,904,384/193,077,918
  6. Step 6: Final answer
    x = 923,441,840.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.