Finding the Third Proportional to 102,778,570,238 and 157,121,929,204
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Solution
The third proportional to 102,778,570,238 and 157,121,929,204 is: 240,198,910,917.13
Step by Step Solution
- Step 1: Write the proportion equation
102,778,570,238 : 157,121,929,204 = 157,121,929,204 : x - Step 2: Convert to fraction form
102,778,570,238/157,121,929,204 = 157,121,929,204/x - Step 3: Cross multiply
102,778,570,238x = 157,121,929,204 × 157,121,929,204 - Step 4: Simplify right side
102,778,570,238x = 24,687,300,636,786,787,614,720 - Step 5: Solve for x
x = 24,687,300,636,786,787,614,720/102,778,570,238 - Step 6: Final answer
x = 240,198,910,917.13
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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.