Finding the Third Proportional to 156,115,981,326 and 210,637,113,990
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Solution
The third proportional to 156,115,981,326 and 210,637,113,990 is: 284,198,923,218.42
Step by Step Solution
- Step 1: Write the proportion equation
156,115,981,326 : 210,637,113,990 = 210,637,113,990 : x - Step 2: Convert to fraction form
156,115,981,326/210,637,113,990 = 210,637,113,990/x - Step 3: Cross multiply
156,115,981,326x = 210,637,113,990 × 210,637,113,990 - Step 4: Simplify right side
156,115,981,326x = 44,367,993,790,036,252,295,168 - Step 5: Solve for x
x = 44,367,993,790,036,252,295,168/156,115,981,326 - Step 6: Final answer
x = 284,198,923,218.42
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.