Finding the Third Proportional to 111,141,177,072 and 149,955,541,938
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Solution
The third proportional to 111,141,177,072 and 149,955,541,938 is: 202,325,233,098.37
Step by Step Solution
- Step 1: Write the proportion equation
111,141,177,072 : 149,955,541,938 = 149,955,541,938 : x - Step 2: Convert to fraction form
111,141,177,072/149,955,541,938 = 149,955,541,938/x - Step 3: Cross multiply
111,141,177,072x = 149,955,541,938 × 149,955,541,938 - Step 4: Simplify right side
111,141,177,072x = 22,486,664,557,919,276,630,016 - Step 5: Solve for x
x = 22,486,664,557,919,276,630,016/111,141,177,072 - Step 6: Final answer
x = 202,325,233,098.37
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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.