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Finding the Third Proportional to 189,625,692,573 and 273,976,379,498.24

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Solution

The third proportional to 189,625,692,573 and 273,976,379,498.24 is: 395,848,555,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,625,692,573 : 273,976,379,498.24 = 273,976,379,498.24 : x
  2. Step 2: Convert to fraction form
    189,625,692,573/273,976,379,498.24 = 273,976,379,498.24/x
  3. Step 3: Cross multiply
    189,625,692,573x = 273,976,379,498.24 × 273,976,379,498.24
  4. Step 4: Simplify right side
    189,625,692,573x = 75,063,056,522,963,616,530,432
  5. Step 5: Solve for x
    x = 75,063,056,522,963,616,530,432/189,625,692,573
  6. Step 6: Final answer
    x = 395,848,555,670.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.