Finding the Third Proportional to 83,074,214 and 181,809,099
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Solution
The third proportional to 83,074,214 and 181,809,099 is: 397,891,799.24
Step by Step Solution
- Step 1: Write the proportion equation
83,074,214 : 181,809,099 = 181,809,099 : x - Step 2: Convert to fraction form
83,074,214/181,809,099 = 181,809,099/x - Step 3: Cross multiply
83,074,214x = 181,809,099 × 181,809,099 - Step 4: Simplify right side
83,074,214x = 33,054,548,479,191,800 - Step 5: Solve for x
x = 33,054,548,479,191,800/83,074,214 - Step 6: Final answer
x = 397,891,799.24
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.