Finding the Third Proportional to 102,778,570,305 and 157,121,929,278
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Solution
The third proportional to 102,778,570,305 and 157,121,929,278 is: 240,198,910,986.80
Step by Step Solution
- Step 1: Write the proportion equation
102,778,570,305 : 157,121,929,278 = 157,121,929,278 : x - Step 2: Convert to fraction form
102,778,570,305/157,121,929,278 = 157,121,929,278/x - Step 3: Cross multiply
102,778,570,305x = 157,121,929,278 × 157,121,929,278 - Step 4: Simplify right side
102,778,570,305x = 24,687,300,660,040,835,268,608 - Step 5: Solve for x
x = 24,687,300,660,040,835,268,608/102,778,570,305 - Step 6: Final answer
x = 240,198,910,986.80
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.