Finding the Third Proportional to 227,469,114 and 491,184,000
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Solution
The third proportional to 227,469,114 and 491,184,000 is: 1,060,635,079.70
Step by Step Solution
- Step 1: Write the proportion equation
227,469,114 : 491,184,000 = 491,184,000 : x - Step 2: Convert to fraction form
227,469,114/491,184,000 = 491,184,000/x - Step 3: Cross multiply
227,469,114x = 491,184,000 × 491,184,000 - Step 4: Simplify right side
227,469,114x = 241,261,721,856,000,000 - Step 5: Solve for x
x = 241,261,721,856,000,000/227,469,114 - Step 6: Final answer
x = 1,060,635,079.70
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.