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Finding the Third Proportional to 138,769,767,923 and 187,233,000,148

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Solution

The third proportional to 138,769,767,923 and 187,233,000,148 is: 252,621,279,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769,767,923 : 187,233,000,148 = 187,233,000,148 : x
  2. Step 2: Convert to fraction form
    138,769,767,923/187,233,000,148 = 187,233,000,148/x
  3. Step 3: Cross multiply
    138,769,767,923x = 187,233,000,148 × 187,233,000,148
  4. Step 4: Simplify right side
    138,769,767,923x = 35,056,196,344,420,969,218,048
  5. Step 5: Solve for x
    x = 35,056,196,344,420,969,218,048/138,769,767,923
  6. Step 6: Final answer
    x = 252,621,279,613.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.