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Finding the Third Proportional to 49,193,755.31 and 107,654,558.63

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Solution

The third proportional to 49,193,755.31 and 107,654,558.63 is: 235,588,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,193,755.31 : 107,654,558.63 = 107,654,558.63 : x
  2. Step 2: Convert to fraction form
    49,193,755.31/107,654,558.63 = 107,654,558.63/x
  3. Step 3: Cross multiply
    49,193,755.31x = 107,654,558.63 × 107,654,558.63
  4. Step 4: Simplify right side
    49,193,755.31x = 11,589,503,992,743,562
  5. Step 5: Solve for x
    x = 11,589,503,992,743,562/49,193,755.31
  6. Step 6: Final answer
    x = 235,588,926.26

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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.