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Finding the Third Proportional to 49,431,120.75 and 107,649,972

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Solution

The third proportional to 49,431,120.75 and 107,649,972 is: 234,437,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,431,120.75 : 107,649,972 = 107,649,972 : x
  2. Step 2: Convert to fraction form
    49,431,120.75/107,649,972 = 107,649,972/x
  3. Step 3: Cross multiply
    49,431,120.75x = 107,649,972 × 107,649,972
  4. Step 4: Simplify right side
    49,431,120.75x = 11,588,516,471,600,784
  5. Step 5: Solve for x
    x = 11,588,516,471,600,784/49,431,120.75
  6. Step 6: Final answer
    x = 234,437,663.88

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