Finding the Third Proportional to 103,214 and 226,114
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Solution
The third proportional to 103,214 and 226,114 is: 495,354.71
Step by Step Solution
- Step 1: Write the proportion equation
103,214 : 226,114 = 226,114 : x - Step 2: Convert to fraction form
103,214/226,114 = 226,114/x - Step 3: Cross multiply
103,214x = 226,114 × 226,114 - Step 4: Simplify right side
103,214x = 51,127,540,996 - Step 5: Solve for x
x = 51,127,540,996/103,214 - Step 6: Final answer
x = 495,354.71
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.