Finding the Third Proportional to 211,770,505.69 and 458,707,546.13
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Solution
The third proportional to 211,770,505.69 and 458,707,546.13 is: 993,587,903.99
Step by Step Solution
- Step 1: Write the proportion equation
211,770,505.69 : 458,707,546.13 = 458,707,546.13 : x - Step 2: Convert to fraction form
211,770,505.69/458,707,546.13 = 458,707,546.13/x - Step 3: Cross multiply
211,770,505.69x = 458,707,546.13 × 458,707,546.13 - Step 4: Simplify right side
211,770,505.69x = 210,412,612,872,019,008 - Step 5: Solve for x
x = 210,412,612,872,019,008/211,770,505.69 - Step 6: Final answer
x = 993,587,903.99
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.