Finding the Third Proportional to 161,076,202,290 and 242,286,796,458
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Solution
The third proportional to 161,076,202,290 and 242,286,796,458 is: 364,441,741,879.36
Step by Step Solution
- Step 1: Write the proportion equation
161,076,202,290 : 242,286,796,458 = 242,286,796,458 : x - Step 2: Convert to fraction form
161,076,202,290/242,286,796,458 = 242,286,796,458/x - Step 3: Cross multiply
161,076,202,290x = 242,286,796,458 × 242,286,796,458 - Step 4: Simplify right side
161,076,202,290x = 58,702,891,737,880,324,997,120 - Step 5: Solve for x
x = 58,702,891,737,880,324,997,120/161,076,202,290 - Step 6: Final answer
x = 364,441,741,879.36
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.