Finding the Third Proportional to 203,877,674,210 and 283,475,609,475
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Solution
The third proportional to 203,877,674,210 and 283,475,609,475 is: 394,150,175,974.89
Step by Step Solution
- Step 1: Write the proportion equation
203,877,674,210 : 283,475,609,475 = 283,475,609,475 : x - Step 2: Convert to fraction form
203,877,674,210/283,475,609,475 = 283,475,609,475/x - Step 3: Cross multiply
203,877,674,210x = 283,475,609,475 × 283,475,609,475 - Step 4: Simplify right side
203,877,674,210x = 80,358,421,167,222,701,424,640 - Step 5: Solve for x
x = 80,358,421,167,222,701,424,640/203,877,674,210 - Step 6: Final answer
x = 394,150,175,974.89
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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.