Finding the Third Proportional to 180,469,760 and 267,427,296
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Solution
The third proportional to 180,469,760 and 267,427,296 is: 396,284,444.81
Step by Step Solution
- Step 1: Write the proportion equation
180,469,760 : 267,427,296 = 267,427,296 : x - Step 2: Convert to fraction form
180,469,760/267,427,296 = 267,427,296/x - Step 3: Cross multiply
180,469,760x = 267,427,296 × 267,427,296 - Step 4: Simplify right side
180,469,760x = 71,517,358,645,871,616 - Step 5: Solve for x
x = 71,517,358,645,871,616/180,469,760 - Step 6: Final answer
x = 396,284,444.81
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.