Finding the Third Proportional to 106,467.75 and 232,858.13
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Solution
The third proportional to 106,467.75 and 232,858.13 is: 509,289.49
Step by Step Solution
- Step 1: Write the proportion equation
106,467.75 : 232,858.13 = 232,858.13 : x - Step 2: Convert to fraction form
106,467.75/232,858.13 = 232,858.13/x - Step 3: Cross multiply
106,467.75x = 232,858.13 × 232,858.13 - Step 4: Simplify right side
106,467.75x = 54,222,906,378.52 - Step 5: Solve for x
x = 54,222,906,378.52/106,467.75 - Step 6: Final answer
x = 509,289.49
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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.