Finding the Third Proportional to 215,493,936,840 and 303,077,804,494.50
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Solution
The third proportional to 215,493,936,840 and 303,077,804,494.50 is: 426,258,654,531.93
Step by Step Solution
- Step 1: Write the proportion equation
215,493,936,840 : 303,077,804,494.50 = 303,077,804,494.50 : x - Step 2: Convert to fraction form
215,493,936,840/303,077,804,494.50 = 303,077,804,494.50/x - Step 3: Cross multiply
215,493,936,840x = 303,077,804,494.50 × 303,077,804,494.50 - Step 4: Simplify right side
215,493,936,840x = 91,856,155,577,206,368,632,832 - Step 5: Solve for x
x = 91,856,155,577,206,368,632,832/215,493,936,840 - Step 6: Final answer
x = 426,258,654,531.93
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.