Finding the Third Proportional to 195,005,872,022 and 274,611,239,355
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Solution
The third proportional to 195,005,872,022 and 274,611,239,355 is: 386,713,138,420.68
Step by Step Solution
- Step 1: Write the proportion equation
195,005,872,022 : 274,611,239,355 = 274,611,239,355 : x - Step 2: Convert to fraction form
195,005,872,022/274,611,239,355 = 274,611,239,355/x - Step 3: Cross multiply
195,005,872,022x = 274,611,239,355 × 274,611,239,355 - Step 4: Simplify right side
195,005,872,022x = 75,411,332,780,089,099,157,504 - Step 5: Solve for x
x = 75,411,332,780,089,099,157,504/195,005,872,022 - Step 6: Final answer
x = 386,713,138,420.68
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.