Finding the Third Proportional to 98,926 and 214,266
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Solution
The third proportional to 98,926 and 214,266 is: 464,083.44
Step by Step Solution
- Step 1: Write the proportion equation
98,926 : 214,266 = 214,266 : x - Step 2: Convert to fraction form
98,926/214,266 = 214,266/x - Step 3: Cross multiply
98,926x = 214,266 × 214,266 - Step 4: Simplify right side
98,926x = 45,909,918,756 - Step 5: Solve for x
x = 45,909,918,756/98,926 - Step 6: Final answer
x = 464,083.44
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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.