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Finding the Third Proportional to 136,916,876,254 and 189,193,245,512

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Solution

The third proportional to 136,916,876,254 and 189,193,245,512 is: 261,429,307,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,916,876,254 : 189,193,245,512 = 189,193,245,512 : x
  2. Step 2: Convert to fraction form
    136,916,876,254/189,193,245,512 = 189,193,245,512/x
  3. Step 3: Cross multiply
    136,916,876,254x = 189,193,245,512 × 189,193,245,512
  4. Step 4: Simplify right side
    136,916,876,254x = 35,794,084,147,363,907,108,864
  5. Step 5: Solve for x
    x = 35,794,084,147,363,907,108,864/136,916,876,254
  6. Step 6: Final answer
    x = 261,429,307,523.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.