Finding the Third Proportional to 181,115,916.75 and 282,435,549.75
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Solution
The third proportional to 181,115,916.75 and 282,435,549.75 is: 440,435,281.42
Step by Step Solution
- Step 1: Write the proportion equation
181,115,916.75 : 282,435,549.75 = 282,435,549.75 : x - Step 2: Convert to fraction form
181,115,916.75/282,435,549.75 = 282,435,549.75/x - Step 3: Cross multiply
181,115,916.75x = 282,435,549.75 × 282,435,549.75 - Step 4: Simplify right side
181,115,916.75x = 79,769,839,762,584,720 - Step 5: Solve for x
x = 79,769,839,762,584,720/181,115,916.75 - Step 6: Final answer
x = 440,435,281.42
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.