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Finding the Third Proportional to 49,065,079.50 and 107,042,178.38

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Solution

The third proportional to 49,065,079.50 and 107,042,178.38 is: 233,527,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065,079.50 : 107,042,178.38 = 107,042,178.38 : x
  2. Step 2: Convert to fraction form
    49,065,079.50/107,042,178.38 = 107,042,178.38/x
  3. Step 3: Cross multiply
    49,065,079.50x = 107,042,178.38 × 107,042,178.38
  4. Step 4: Simplify right side
    49,065,079.50x = 11,458,027,951,265,318
  5. Step 5: Solve for x
    x = 11,458,027,951,265,318/49,065,079.50
  6. Step 6: Final answer
    x = 233,527,145.33

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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.