Finding the Third Proportional to 120,723,698 and 261,503,082
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Solution
The third proportional to 120,723,698 and 261,503,082 is: 566,449,363.53
Step by Step Solution
- Step 1: Write the proportion equation
120,723,698 : 261,503,082 = 261,503,082 : x - Step 2: Convert to fraction form
120,723,698/261,503,082 = 261,503,082/x - Step 3: Cross multiply
120,723,698x = 261,503,082 × 261,503,082 - Step 4: Simplify right side
120,723,698x = 68,383,861,895,498,720 - Step 5: Solve for x
x = 68,383,861,895,498,720/120,723,698 - Step 6: Final answer
x = 566,449,363.53
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.