Finding the Third Proportional to 159,275,222,325 and 341,269,024,158
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Solution
The third proportional to 159,275,222,325 and 341,269,024,158 is: 731,215,723,008.75
Step by Step Solution
- Step 1: Write the proportion equation
159,275,222,325 : 341,269,024,158 = 341,269,024,158 : x - Step 2: Convert to fraction form
159,275,222,325/341,269,024,158 = 341,269,024,158/x - Step 3: Cross multiply
159,275,222,325x = 341,269,024,158 × 341,269,024,158 - Step 4: Simplify right side
159,275,222,325x = 116,464,546,849,753,590,136,832 - Step 5: Solve for x
x = 116,464,546,849,753,590,136,832/159,275,222,325 - Step 6: Final answer
x = 731,215,723,008.75
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.