Finding the Third Proportional to 100,177,676,698 and 218,355,370,388
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Solution
The third proportional to 100,177,676,698 and 218,355,370,388 is: 475,945,034,351.48
Step by Step Solution
- Step 1: Write the proportion equation
100,177,676,698 : 218,355,370,388 = 218,355,370,388 : x - Step 2: Convert to fraction form
100,177,676,698/218,355,370,388 = 218,355,370,388/x - Step 3: Cross multiply
100,177,676,698x = 218,355,370,388 × 218,355,370,388 - Step 4: Simplify right side
100,177,676,698x = 47,679,067,777,280,665,190,400 - Step 5: Solve for x
x = 47,679,067,777,280,665,190,400/100,177,676,698 - Step 6: Final answer
x = 475,945,034,351.48
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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.