Finding the Third Proportional to 46,784 and 99,410
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Solution
The third proportional to 46,784 and 99,410 is: 211,233.50
Step by Step Solution
- Step 1: Write the proportion equation
46,784 : 99,410 = 99,410 : x - Step 2: Convert to fraction form
46,784/99,410 = 99,410/x - Step 3: Cross multiply
46,784x = 99,410 × 99,410 - Step 4: Simplify right side
46,784x = 9,882,348,100 - Step 5: Solve for x
x = 9,882,348,100/46,784 - Step 6: Final answer
x = 211,233.50
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.