Finding the Third Proportional to 199,050,737,749 and 438,674,355,266
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Solution
The third proportional to 199,050,737,749 and 438,674,355,266 is: 966,764,515,139.34
Step by Step Solution
- Step 1: Write the proportion equation
199,050,737,749 : 438,674,355,266 = 438,674,355,266 : x - Step 2: Convert to fraction form
199,050,737,749/438,674,355,266 = 438,674,355,266/x - Step 3: Cross multiply
199,050,737,749x = 438,674,355,266 × 438,674,355,266 - Step 4: Simplify right side
199,050,737,749x = 192,435,189,968,040,775,122,944 - Step 5: Solve for x
x = 192,435,189,968,040,775,122,944/199,050,737,749 - Step 6: Final answer
x = 966,764,515,139.34
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.