Finding the Third Proportional to 150,982,139,310 and 234,428,554,305
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Solution
The third proportional to 150,982,139,310 and 234,428,554,305 is: 363,995,021,693.88
Step by Step Solution
- Step 1: Write the proportion equation
150,982,139,310 : 234,428,554,305 = 234,428,554,305 : x - Step 2: Convert to fraction form
150,982,139,310/234,428,554,305 = 234,428,554,305/x - Step 3: Cross multiply
150,982,139,310x = 234,428,554,305 × 234,428,554,305 - Step 4: Simplify right side
150,982,139,310x = 54,956,747,073,532,333,129,728 - Step 5: Solve for x
x = 54,956,747,073,532,333,129,728/150,982,139,310 - Step 6: Final answer
x = 363,995,021,693.88
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.