Finding the Third Proportional to 157,847,984,128 and 368,324,690,920
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Solution
The third proportional to 157,847,984,128 and 368,324,690,920 is: 859,453,978,400.53
Step by Step Solution
- Step 1: Write the proportion equation
157,847,984,128 : 368,324,690,920 = 368,324,690,920 : x - Step 2: Convert to fraction form
157,847,984,128/368,324,690,920 = 368,324,690,920/x - Step 3: Cross multiply
157,847,984,128x = 368,324,690,920 × 368,324,690,920 - Step 4: Simplify right side
157,847,984,128x = 135,663,077,941,313,536,000,000 - Step 5: Solve for x
x = 135,663,077,941,313,536,000,000/157,847,984,128 - Step 6: Final answer
x = 859,453,978,400.53
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.