Finding the Third Proportional to 138,769,761,198 and 187,232,990,241
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Solution
The third proportional to 138,769,761,198 and 187,232,990,241 is: 252,621,265,122.50
Step by Step Solution
- Step 1: Write the proportion equation
138,769,761,198 : 187,232,990,241 = 187,232,990,241 : x - Step 2: Convert to fraction form
138,769,761,198/187,232,990,241 = 187,232,990,241/x - Step 3: Cross multiply
138,769,761,198x = 187,232,990,241 × 187,232,990,241 - Step 4: Simplify right side
138,769,761,198x = 35,056,192,634,586,402,914,304 - Step 5: Solve for x
x = 35,056,192,634,586,402,914,304/138,769,761,198 - Step 6: Final answer
x = 252,621,265,122.50
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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.