Finding the Third Proportional to 166,206,424,369.50 and 337,037,736,640.50
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Solution
The third proportional to 166,206,424,369.50 and 337,037,736,640.50 is: 683,453,941,992.13
Step by Step Solution
- Step 1: Write the proportion equation
166,206,424,369.50 : 337,037,736,640.50 = 337,037,736,640.50 : x - Step 2: Convert to fraction form
166,206,424,369.50/337,037,736,640.50 = 337,037,736,640.50/x - Step 3: Cross multiply
166,206,424,369.50x = 337,037,736,640.50 × 337,037,736,640.50 - Step 4: Simplify right side
166,206,424,369.50x = 113,594,435,919,751,040,466,944 - Step 5: Solve for x
x = 113,594,435,919,751,040,466,944/166,206,424,369.50 - Step 6: Final answer
x = 683,453,941,992.13
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.