Finding the Third Proportional to 113,967,216 and 231,958,755
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Solution
The third proportional to 113,967,216 and 231,958,755 is: 472,108,259.81
Step by Step Solution
- Step 1: Write the proportion equation
113,967,216 : 231,958,755 = 231,958,755 : x - Step 2: Convert to fraction form
113,967,216/231,958,755 = 231,958,755/x - Step 3: Cross multiply
113,967,216x = 231,958,755 × 231,958,755 - Step 4: Simplify right side
113,967,216x = 53,804,864,021,150,024 - Step 5: Solve for x
x = 53,804,864,021,150,024/113,967,216 - Step 6: Final answer
x = 472,108,259.81
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.