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Finding the Third Proportional to 138,769,761,181 and 187,232,990,216

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Solution

The third proportional to 138,769,761,181 and 187,232,990,216 is: 252,621,265,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769,761,181 : 187,232,990,216 = 187,232,990,216 : x
  2. Step 2: Convert to fraction form
    138,769,761,181/187,232,990,216 = 187,232,990,216/x
  3. Step 3: Cross multiply
    138,769,761,181x = 187,232,990,216 × 187,232,990,216
  4. Step 4: Simplify right side
    138,769,761,181x = 35,056,192,625,224,749,940,736
  5. Step 5: Solve for x
    x = 35,056,192,625,224,749,940,736/138,769,761,181
  6. Step 6: Final answer
    x = 252,621,265,085.99

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