Finding the Third Proportional to 201,214,816 and 431,114,336
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Solution
The third proportional to 201,214,816 and 431,114,336 is: 923,687,302.95
Step by Step Solution
- Step 1: Write the proportion equation
201,214,816 : 431,114,336 = 431,114,336 : x - Step 2: Convert to fraction form
201,214,816/431,114,336 = 431,114,336/x - Step 3: Cross multiply
201,214,816x = 431,114,336 × 431,114,336 - Step 4: Simplify right side
201,214,816x = 185,859,570,704,720,896 - Step 5: Solve for x
x = 185,859,570,704,720,896/201,214,816 - Step 6: Final answer
x = 923,687,302.95
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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.