Finding the Third Proportional to 181,696,331,232 and 395,387,135,416
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Solution
The third proportional to 181,696,331,232 and 395,387,135,416 is: 860,397,047,053.52
Step by Step Solution
- Step 1: Write the proportion equation
181,696,331,232 : 395,387,135,416 = 395,387,135,416 : x - Step 2: Convert to fraction form
181,696,331,232/395,387,135,416 = 395,387,135,416/x - Step 3: Cross multiply
181,696,331,232x = 395,387,135,416 × 395,387,135,416 - Step 4: Simplify right side
181,696,331,232x = 156,330,986,852,470,327,607,296 - Step 5: Solve for x
x = 156,330,986,852,470,327,607,296/181,696,331,232 - Step 6: Final answer
x = 860,397,047,053.52
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.