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Finding the Third Proportional to 138,769,761,179 and 187,232,990,213

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Solution

The third proportional to 138,769,761,179 and 187,232,990,213 is: 252,621,265,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769,761,179 : 187,232,990,213 = 187,232,990,213 : x
  2. Step 2: Convert to fraction form
    138,769,761,179/187,232,990,213 = 187,232,990,213/x
  3. Step 3: Cross multiply
    138,769,761,179x = 187,232,990,213 × 187,232,990,213
  4. Step 4: Simplify right side
    138,769,761,179x = 35,056,192,624,101,351,751,680
  5. Step 5: Solve for x
    x = 35,056,192,624,101,351,751,680/138,769,761,179
  6. Step 6: Final answer
    x = 252,621,265,081.53

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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.