Finding the Third Proportional to 201,397,728 and 310,993,314
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Solution
The third proportional to 201,397,728 and 310,993,314 is: 480,228,065.69
Step by Step Solution
- Step 1: Write the proportion equation
201,397,728 : 310,993,314 = 310,993,314 : x - Step 2: Convert to fraction form
201,397,728/310,993,314 = 310,993,314/x - Step 3: Cross multiply
201,397,728x = 310,993,314 × 310,993,314 - Step 4: Simplify right side
201,397,728x = 96,716,841,352,702,592 - Step 5: Solve for x
x = 96,716,841,352,702,592/201,397,728 - Step 6: Final answer
x = 480,228,065.69
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.