Finding the Third Proportional to 181,700,500,780 and 397,596,041,259
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Solution
The third proportional to 181,700,500,780 and 397,596,041,259 is: 870,017,481,218.90
Step by Step Solution
- Step 1: Write the proportion equation
181,700,500,780 : 397,596,041,259 = 397,596,041,259 : x - Step 2: Convert to fraction form
181,700,500,780/397,596,041,259 = 397,596,041,259/x - Step 3: Cross multiply
181,700,500,780x = 397,596,041,259 × 397,596,041,259 - Step 4: Simplify right side
181,700,500,780x = 158,082,612,024,828,445,589,504 - Step 5: Solve for x
x = 158,082,612,024,828,445,589,504/181,700,500,780 - Step 6: Final answer
x = 870,017,481,218.90
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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.