Finding the Third Proportional to 203,877,674,300 and 283,475,609,850
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Solution
The third proportional to 203,877,674,300 and 283,475,609,850 is: 394,150,176,843.71
Step by Step Solution
- Step 1: Write the proportion equation
203,877,674,300 : 283,475,609,850 = 283,475,609,850 : x - Step 2: Convert to fraction form
203,877,674,300/283,475,609,850 = 283,475,609,850/x - Step 3: Cross multiply
203,877,674,300x = 283,475,609,850 × 283,475,609,850 - Step 4: Simplify right side
203,877,674,300x = 80,358,421,379,829,421,047,808 - Step 5: Solve for x
x = 80,358,421,379,829,421,047,808/203,877,674,300 - Step 6: Final answer
x = 394,150,176,843.71
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.