Finding the Third Proportional to 171,821,108,158 and 348,541,482,324
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Solution
The third proportional to 171,821,108,158 and 348,541,482,324 is: 707,021,193,163.89
Step by Step Solution
- Step 1: Write the proportion equation
171,821,108,158 : 348,541,482,324 = 348,541,482,324 : x - Step 2: Convert to fraction form
171,821,108,158/348,541,482,324 = 348,541,482,324/x - Step 3: Cross multiply
171,821,108,158x = 348,541,482,324 × 348,541,482,324 - Step 4: Simplify right side
171,821,108,158x = 121,481,164,900,611,211,132,928 - Step 5: Solve for x
x = 121,481,164,900,611,211,132,928/171,821,108,158 - Step 6: Final answer
x = 707,021,193,163.89
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.