Finding the Third Proportional to 102,204,186,321 and 222,405,263,676
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Solution
The third proportional to 102,204,186,321 and 222,405,263,676 is: 483,973,338,972.98
Step by Step Solution
- Step 1: Write the proportion equation
102,204,186,321 : 222,405,263,676 = 222,405,263,676 : x - Step 2: Convert to fraction form
102,204,186,321/222,405,263,676 = 222,405,263,676/x - Step 3: Cross multiply
102,204,186,321x = 222,405,263,676 × 222,405,263,676 - Step 4: Simplify right side
102,204,186,321x = 49,464,101,310,791,086,505,984 - Step 5: Solve for x
x = 49,464,101,310,791,086,505,984/102,204,186,321 - Step 6: Final answer
x = 483,973,338,972.98
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.