Finding the Third Proportional to 156,497,683,745 and 338,981,991,671
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Solution
The third proportional to 156,497,683,745 and 338,981,991,671 is: 734,252,341,168.65
Step by Step Solution
- Step 1: Write the proportion equation
156,497,683,745 : 338,981,991,671 = 338,981,991,671 : x - Step 2: Convert to fraction form
156,497,683,745/338,981,991,671 = 338,981,991,671/x - Step 3: Cross multiply
156,497,683,745x = 338,981,991,671 × 338,981,991,671 - Step 4: Simplify right side
156,497,683,745x = 114,908,790,677,237,917,548,544 - Step 5: Solve for x
x = 114,908,790,677,237,917,548,544/156,497,683,745 - Step 6: Final answer
x = 734,252,341,168.65
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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.