Finding the Third Proportional to 82,799,524,516.50 and 135,189,854,070.75
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Solution
The third proportional to 82,799,524,516.50 and 135,189,854,070.75 is: 220,729,487,885.27
Step by Step Solution
- Step 1: Write the proportion equation
82,799,524,516.50 : 135,189,854,070.75 = 135,189,854,070.75 : x - Step 2: Convert to fraction form
82,799,524,516.50/135,189,854,070.75 = 135,189,854,070.75/x - Step 3: Cross multiply
82,799,524,516.50x = 135,189,854,070.75 × 135,189,854,070.75 - Step 4: Simplify right side
82,799,524,516.50x = 18,276,296,643,670,681,059,328 - Step 5: Solve for x
x = 18,276,296,643,670,681,059,328/82,799,524,516.50 - Step 6: Final answer
x = 220,729,487,885.27
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.