Finding the Third Proportional to 96,649,373,337 and 196,054,583,802
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Solution
The third proportional to 96,649,373,337 and 196,054,583,802 is: 397,699,421,141.11
Step by Step Solution
- Step 1: Write the proportion equation
96,649,373,337 : 196,054,583,802 = 196,054,583,802 : x - Step 2: Convert to fraction form
96,649,373,337/196,054,583,802 = 196,054,583,802/x - Step 3: Cross multiply
96,649,373,337x = 196,054,583,802 × 196,054,583,802 - Step 4: Simplify right side
96,649,373,337x = 38,437,399,829,775,437,004,800 - Step 5: Solve for x
x = 38,437,399,829,775,437,004,800/96,649,373,337 - Step 6: Final answer
x = 397,699,421,141.11
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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.