Finding the Third Proportional to 177,319,304,165 and 264,816,998,440
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Solution
The third proportional to 177,319,304,165 and 264,816,998,440 is: 395,490,175,156.09
Step by Step Solution
- Step 1: Write the proportion equation
177,319,304,165 : 264,816,998,440 = 264,816,998,440 : x - Step 2: Convert to fraction form
177,319,304,165/264,816,998,440 = 264,816,998,440/x - Step 3: Cross multiply
177,319,304,165x = 264,816,998,440 × 264,816,998,440 - Step 4: Simplify right side
177,319,304,165x = 70,128,042,662,770,960,760,832 - Step 5: Solve for x
x = 70,128,042,662,770,960,760,832/177,319,304,165 - Step 6: Final answer
x = 395,490,175,156.09
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.