Finding the Third Proportional to 181,696,331,224 and 395,387,135,400
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Solution
The third proportional to 181,696,331,224 and 395,387,135,400 is: 860,397,047,021.76
Step by Step Solution
- Step 1: Write the proportion equation
181,696,331,224 : 395,387,135,400 = 395,387,135,400 : x - Step 2: Convert to fraction form
181,696,331,224/395,387,135,400 = 395,387,135,400/x - Step 3: Cross multiply
181,696,331,224x = 395,387,135,400 × 395,387,135,400 - Step 4: Simplify right side
181,696,331,224x = 156,330,986,839,817,924,378,624 - Step 5: Solve for x
x = 156,330,986,839,817,924,378,624/181,696,331,224 - Step 6: Final answer
x = 860,397,047,021.76
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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.