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Finding the Third Proportional to 48,251,738,227.50 and 105,191,503,992

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Solution

The third proportional to 48,251,738,227.50 and 105,191,503,992 is: 229,323,396,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,251,738,227.50 : 105,191,503,992 = 105,191,503,992 : x
  2. Step 2: Convert to fraction form
    48,251,738,227.50/105,191,503,992 = 105,191,503,992/x
  3. Step 3: Cross multiply
    48,251,738,227.50x = 105,191,503,992 × 105,191,503,992
  4. Step 4: Simplify right side
    48,251,738,227.50x = 11,065,252,512,098,951,364,608
  5. Step 5: Solve for x
    x = 11,065,252,512,098,951,364,608/48,251,738,227.50
  6. Step 6: Final answer
    x = 229,323,396,805.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.