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Finding the Third Proportional to 49,536.56 and 107,152.88

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Solution

The third proportional to 49,536.56 and 107,152.88 is: 231,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,536.56 : 107,152.88 = 107,152.88 : x
  2. Step 2: Convert to fraction form
    49,536.56/107,152.88 = 107,152.88/x
  3. Step 3: Cross multiply
    49,536.56x = 107,152.88 × 107,152.88
  4. Step 4: Simplify right side
    49,536.56x = 11,481,738,620.77
  5. Step 5: Solve for x
    x = 11,481,738,620.77/49,536.56
  6. Step 6: Final answer
    x = 231,783.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.