Finding the Third Proportional to 99,205 and 149,702
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Solution
The third proportional to 99,205 and 149,702 is: 225,902.82
Step by Step Solution
- Step 1: Write the proportion equation
99,205 : 149,702 = 149,702 : x - Step 2: Convert to fraction form
99,205/149,702 = 149,702/x - Step 3: Cross multiply
99,205x = 149,702 × 149,702 - Step 4: Simplify right side
99,205x = 22,410,688,804 - Step 5: Solve for x
x = 22,410,688,804/99,205 - Step 6: Final answer
x = 225,902.82
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.