Finding the Third Proportional to 98,686 and 214,004
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Solution
The third proportional to 98,686 and 214,004 is: 464,075.07
Step by Step Solution
- Step 1: Write the proportion equation
98,686 : 214,004 = 214,004 : x - Step 2: Convert to fraction form
98,686/214,004 = 214,004/x - Step 3: Cross multiply
98,686x = 214,004 × 214,004 - Step 4: Simplify right side
98,686x = 45,797,712,016 - Step 5: Solve for x
x = 45,797,712,016/98,686 - Step 6: Final answer
x = 464,075.07
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.