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Finding the Third Proportional to 69,100,864 and 151,218,816

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Solution

The third proportional to 69,100,864 and 151,218,816 is: 330,923,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,100,864 : 151,218,816 = 151,218,816 : x
  2. Step 2: Convert to fraction form
    69,100,864/151,218,816 = 151,218,816/x
  3. Step 3: Cross multiply
    69,100,864x = 151,218,816 × 151,218,816
  4. Step 4: Simplify right side
    69,100,864x = 22,867,130,312,441,856
  5. Step 5: Solve for x
    x = 22,867,130,312,441,856/69,100,864
  6. Step 6: Final answer
    x = 330,923,942.03

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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.