Finding the Third Proportional to 144,117,474,269 and 300,163,463,739
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Solution
The third proportional to 144,117,474,269 and 300,163,463,739 is: 625,171,273,787.54
Step by Step Solution
- Step 1: Write the proportion equation
144,117,474,269 : 300,163,463,739 = 300,163,463,739 : x - Step 2: Convert to fraction form
144,117,474,269/300,163,463,739 = 300,163,463,739/x - Step 3: Cross multiply
144,117,474,269x = 300,163,463,739 × 300,163,463,739 - Step 4: Simplify right side
144,117,474,269x = 90,098,104,963,793,963,450,368 - Step 5: Solve for x
x = 90,098,104,963,793,963,450,368/144,117,474,269 - Step 6: Final answer
x = 625,171,273,787.54
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.