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Finding the Third Proportional to 110,804,282,919 and 224,691,824,439

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Solution

The third proportional to 110,804,282,919 and 224,691,824,439 is: 455,635,961,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,804,282,919 : 224,691,824,439 = 224,691,824,439 : x
  2. Step 2: Convert to fraction form
    110,804,282,919/224,691,824,439 = 224,691,824,439/x
  3. Step 3: Cross multiply
    110,804,282,919x = 224,691,824,439 × 224,691,824,439
  4. Step 4: Simplify right side
    110,804,282,919x = 50,486,415,969,726,400,299,008
  5. Step 5: Solve for x
    x = 50,486,415,969,726,400,299,008/110,804,282,919
  6. Step 6: Final answer
    x = 455,635,961,352.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.