Finding the Third Proportional to 100,902 and 216,292
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Solution
The third proportional to 100,902 and 216,292 is: 463,640.26
Step by Step Solution
- Step 1: Write the proportion equation
100,902 : 216,292 = 216,292 : x - Step 2: Convert to fraction form
100,902/216,292 = 216,292/x - Step 3: Cross multiply
100,902x = 216,292 × 216,292 - Step 4: Simplify right side
100,902x = 46,782,229,264 - Step 5: Solve for x
x = 46,782,229,264/100,902 - Step 6: Final answer
x = 463,640.26
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.