Finding the Third Proportional to 99,907 and 209,048
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Solution
The third proportional to 99,907 and 209,048 is: 437,417.46
Step by Step Solution
- Step 1: Write the proportion equation
99,907 : 209,048 = 209,048 : x - Step 2: Convert to fraction form
99,907/209,048 = 209,048/x - Step 3: Cross multiply
99,907x = 209,048 × 209,048 - Step 4: Simplify right side
99,907x = 43,701,066,304 - Step 5: Solve for x
x = 43,701,066,304/99,907 - Step 6: Final answer
x = 437,417.46
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.