Finding the Third Proportional to 177,319,304,158 and 264,816,998,430.50
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Solution
The third proportional to 177,319,304,158 and 264,816,998,430.50 is: 395,490,175,143.32
Step by Step Solution
- Step 1: Write the proportion equation
177,319,304,158 : 264,816,998,430.50 = 264,816,998,430.50 : x - Step 2: Convert to fraction form
177,319,304,158/264,816,998,430.50 = 264,816,998,430.50/x - Step 3: Cross multiply
177,319,304,158x = 264,816,998,430.50 × 264,816,998,430.50 - Step 4: Simplify right side
177,319,304,158x = 70,128,042,657,739,440,128,000 - Step 5: Solve for x
x = 70,128,042,657,739,440,128,000/177,319,304,158 - Step 6: Final answer
x = 395,490,175,143.32
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.