Finding the Third Proportional to 106,183,481,541.75 and 227,512,682,757
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Solution
The third proportional to 106,183,481,541.75 and 227,512,682,757 is: 487,477,148,646.09
Step by Step Solution
- Step 1: Write the proportion equation
106,183,481,541.75 : 227,512,682,757 = 227,512,682,757 : x - Step 2: Convert to fraction form
106,183,481,541.75/227,512,682,757 = 227,512,682,757/x - Step 3: Cross multiply
106,183,481,541.75x = 227,512,682,757 × 227,512,682,757 - Step 4: Simplify right side
106,183,481,541.75x = 51,762,020,815,287,326,081,024 - Step 5: Solve for x
x = 51,762,020,815,287,326,081,024/106,183,481,541.75 - Step 6: Final answer
x = 487,477,148,646.09
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.