Finding the Third Proportional to 121,764,717,072 and 186,286,383,144
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Solution
The third proportional to 121,764,717,072 and 186,286,383,144 is: 284,997,307,753.39
Step by Step Solution
- Step 1: Write the proportion equation
121,764,717,072 : 186,286,383,144 = 186,286,383,144 : x - Step 2: Convert to fraction form
121,764,717,072/186,286,383,144 = 186,286,383,144/x - Step 3: Cross multiply
121,764,717,072x = 186,286,383,144 × 186,286,383,144 - Step 4: Simplify right side
121,764,717,072x = 34,702,616,544,873,168,240,640 - Step 5: Solve for x
x = 34,702,616,544,873,168,240,640/121,764,717,072 - Step 6: Final answer
x = 284,997,307,753.39
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.