Finding the Third Proportional to 160,397,450,170 and 344,079,211,053
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Solution
The third proportional to 160,397,450,170 and 344,079,211,053 is: 738,107,141,686.96
Step by Step Solution
- Step 1: Write the proportion equation
160,397,450,170 : 344,079,211,053 = 344,079,211,053 : x - Step 2: Convert to fraction form
160,397,450,170/344,079,211,053 = 344,079,211,053/x - Step 3: Cross multiply
160,397,450,170x = 344,079,211,053 × 344,079,211,053 - Step 4: Simplify right side
160,397,450,170x = 118,390,503,478,854,911,262,720 - Step 5: Solve for x
x = 118,390,503,478,854,911,262,720/160,397,450,170 - Step 6: Final answer
x = 738,107,141,686.96
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.