Finding the Third Proportional to 214,150,910 and 288,939,864
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Solution
The third proportional to 214,150,910 and 288,939,864 is: 389,847,724.71
Step by Step Solution
- Step 1: Write the proportion equation
214,150,910 : 288,939,864 = 288,939,864 : x - Step 2: Convert to fraction form
214,150,910/288,939,864 = 288,939,864/x - Step 3: Cross multiply
214,150,910x = 288,939,864 × 288,939,864 - Step 4: Simplify right side
214,150,910x = 83,486,245,008,338,496 - Step 5: Solve for x
x = 83,486,245,008,338,496/214,150,910 - Step 6: Final answer
x = 389,847,724.71
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.