Finding the Third Proportional to 78,923,988,105 and 184,162,336,435.50
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Solution
The third proportional to 78,923,988,105 and 184,162,336,435.50 is: 429,726,968,640.52
Step by Step Solution
- Step 1: Write the proportion equation
78,923,988,105 : 184,162,336,435.50 = 184,162,336,435.50 : x - Step 2: Convert to fraction form
78,923,988,105/184,162,336,435.50 = 184,162,336,435.50/x - Step 3: Cross multiply
78,923,988,105x = 184,162,336,435.50 × 184,162,336,435.50 - Step 4: Simplify right side
78,923,988,105x = 33,915,766,161,382,288,916,480 - Step 5: Solve for x
x = 33,915,766,161,382,288,916,480/78,923,988,105 - Step 6: Final answer
x = 429,726,968,640.52
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.