Finding the Third Proportional to 201,030,722,860 and 430,741,117,569
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Solution
The third proportional to 201,030,722,860 and 430,741,117,569 is: 922,933,110,546.50
Step by Step Solution
- Step 1: Write the proportion equation
201,030,722,860 : 430,741,117,569 = 430,741,117,569 : x - Step 2: Convert to fraction form
201,030,722,860/430,741,117,569 = 430,741,117,569/x - Step 3: Cross multiply
201,030,722,860x = 430,741,117,569 × 430,741,117,569 - Step 4: Simplify right side
201,030,722,860x = 185,537,910,364,591,083,225,088 - Step 5: Solve for x
x = 185,537,910,364,591,083,225,088/201,030,722,860 - Step 6: Final answer
x = 922,933,110,546.50
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.