Finding the Third Proportional to 194,856,192 and 419,105,664
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Solution
The third proportional to 194,856,192 and 419,105,664 is: 901,431,747.15
Step by Step Solution
- Step 1: Write the proportion equation
194,856,192 : 419,105,664 = 419,105,664 : x - Step 2: Convert to fraction form
194,856,192/419,105,664 = 419,105,664/x - Step 3: Cross multiply
194,856,192x = 419,105,664 × 419,105,664 - Step 4: Simplify right side
194,856,192x = 175,649,557,596,880,896 - Step 5: Solve for x
x = 175,649,557,596,880,896/194,856,192 - Step 6: Final answer
x = 901,431,747.15
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.