Finding the Third Proportional to 136,272,250,948 and 296,540,356,616
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Solution
The third proportional to 136,272,250,948 and 296,540,356,616 is: 645,297,795,333.99
Step by Step Solution
- Step 1: Write the proportion equation
136,272,250,948 : 296,540,356,616 = 296,540,356,616 : x - Step 2: Convert to fraction form
136,272,250,948/296,540,356,616 = 296,540,356,616/x - Step 3: Cross multiply
136,272,250,948x = 296,540,356,616 × 296,540,356,616 - Step 4: Simplify right side
136,272,250,948x = 87,936,183,101,944,456,282,112 - Step 5: Solve for x
x = 87,936,183,101,944,456,282,112/136,272,250,948 - Step 6: Final answer
x = 645,297,795,333.99
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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.