Finding the Third Proportional to 208,214,571 and 457,283,721
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Solution
The third proportional to 208,214,571 and 457,283,721 is: 1,004,292,833.53
Step by Step Solution
- Step 1: Write the proportion equation
208,214,571 : 457,283,721 = 457,283,721 : x - Step 2: Convert to fraction form
208,214,571/457,283,721 = 457,283,721/x - Step 3: Cross multiply
208,214,571x = 457,283,721 × 457,283,721 - Step 4: Simplify right side
208,214,571x = 209,108,401,491,605,856 - Step 5: Solve for x
x = 209,108,401,491,605,856/208,214,571 - Step 6: Final answer
x = 1,004,292,833.53
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.