Finding the Third Proportional to 136,198,605,107.25 and 292,609,521,643.88
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Solution
The third proportional to 136,198,605,107.25 and 292,609,521,643.88 is: 628,643,238,227.28
Step by Step Solution
- Step 1: Write the proportion equation
136,198,605,107.25 : 292,609,521,643.88 = 292,609,521,643.88 : x - Step 2: Convert to fraction form
136,198,605,107.25/292,609,521,643.88 = 292,609,521,643.88/x - Step 3: Cross multiply
136,198,605,107.25x = 292,609,521,643.88 × 292,609,521,643.88 - Step 4: Simplify right side
136,198,605,107.25x = 85,620,332,156,660,278,624,256 - Step 5: Solve for x
x = 85,620,332,156,660,278,624,256/136,198,605,107.25 - Step 6: Final answer
x = 628,643,238,227.28
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.