Finding the Third Proportional to 46,804 and 102,354
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Solution
The third proportional to 46,804 and 102,354 is: 223,834.32
Step by Step Solution
- Step 1: Write the proportion equation
46,804 : 102,354 = 102,354 : x - Step 2: Convert to fraction form
46,804/102,354 = 102,354/x - Step 3: Cross multiply
46,804x = 102,354 × 102,354 - Step 4: Simplify right side
46,804x = 10,476,341,316 - Step 5: Solve for x
x = 10,476,341,316/46,804 - Step 6: Final answer
x = 223,834.32
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.