Finding the Third Proportional to 110,862,306,694.50 and 227,601,747,232.50
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Solution
The third proportional to 110,862,306,694.50 and 227,601,747,232.50 is: 467,269,326,138.39
Step by Step Solution
- Step 1: Write the proportion equation
110,862,306,694.50 : 227,601,747,232.50 = 227,601,747,232.50 : x - Step 2: Convert to fraction form
110,862,306,694.50/227,601,747,232.50 = 227,601,747,232.50/x - Step 3: Cross multiply
110,862,306,694.50x = 227,601,747,232.50 × 227,601,747,232.50 - Step 4: Simplify right side
110,862,306,694.50x = 51,802,555,343,286,820,667,392 - Step 5: Solve for x
x = 51,802,555,343,286,820,667,392/110,862,306,694.50 - Step 6: Final answer
x = 467,269,326,138.39
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.