Finding the Third Proportional to 178,224,183 and 283,589,721
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Solution
The third proportional to 178,224,183 and 283,589,721 is: 451,247,010.94
Step by Step Solution
- Step 1: Write the proportion equation
178,224,183 : 283,589,721 = 283,589,721 : x - Step 2: Convert to fraction form
178,224,183/283,589,721 = 283,589,721/x - Step 3: Cross multiply
178,224,183x = 283,589,721 × 283,589,721 - Step 4: Simplify right side
178,224,183x = 80,423,129,856,857,840 - Step 5: Solve for x
x = 80,423,129,856,857,840/178,224,183 - Step 6: Final answer
x = 451,247,010.94
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.