Finding the Third Proportional to 201,625,824 and 311,392,964
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Solution
The third proportional to 201,625,824 and 311,392,964 is: 480,918,446.38
Step by Step Solution
- Step 1: Write the proportion equation
201,625,824 : 311,392,964 = 311,392,964 : x - Step 2: Convert to fraction form
201,625,824/311,392,964 = 311,392,964/x - Step 3: Cross multiply
201,625,824x = 311,392,964 × 311,392,964 - Step 4: Simplify right side
201,625,824x = 96,965,578,028,705,296 - Step 5: Solve for x
x = 96,965,578,028,705,296/201,625,824 - Step 6: Final answer
x = 480,918,446.38
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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.