Finding the Third Proportional to 47,308 and 103,016
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Solution
The third proportional to 47,308 and 103,016 is: 224,323.50
Step by Step Solution
- Step 1: Write the proportion equation
47,308 : 103,016 = 103,016 : x - Step 2: Convert to fraction form
47,308/103,016 = 103,016/x - Step 3: Cross multiply
47,308x = 103,016 × 103,016 - Step 4: Simplify right side
47,308x = 10,612,296,256 - Step 5: Solve for x
x = 10,612,296,256/47,308 - Step 6: Final answer
x = 224,323.50
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.