Finding the Third Proportional to 91,467,152,214 and 198,129,790,380
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Solution
The third proportional to 91,467,152,214 and 198,129,790,380 is: 429,174,986,711.94
Step by Step Solution
- Step 1: Write the proportion equation
91,467,152,214 : 198,129,790,380 = 198,129,790,380 : x - Step 2: Convert to fraction form
91,467,152,214/198,129,790,380 = 198,129,790,380/x - Step 3: Cross multiply
91,467,152,214x = 198,129,790,380 × 198,129,790,380 - Step 4: Simplify right side
91,467,152,214x = 39,255,413,836,022,737,272,832 - Step 5: Solve for x
x = 39,255,413,836,022,737,272,832/91,467,152,214 - Step 6: Final answer
x = 429,174,986,711.94
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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.