Finding the Third Proportional to 42,198 and 90,957
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Solution
The third proportional to 42,198 and 90,957 is: 196,056.11
Step by Step Solution
- Step 1: Write the proportion equation
42,198 : 90,957 = 90,957 : x - Step 2: Convert to fraction form
42,198/90,957 = 90,957/x - Step 3: Cross multiply
42,198x = 90,957 × 90,957 - Step 4: Simplify right side
42,198x = 8,273,175,849 - Step 5: Solve for x
x = 8,273,175,849/42,198 - Step 6: Final answer
x = 196,056.11
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.