Finding the Third Proportional to 169,186,259,325 and 255,958,917,102
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Solution
The third proportional to 169,186,259,325 and 255,958,917,102 is: 387,235,745,416.99
Step by Step Solution
- Step 1: Write the proportion equation
169,186,259,325 : 255,958,917,102 = 255,958,917,102 : x - Step 2: Convert to fraction form
169,186,259,325/255,958,917,102 = 255,958,917,102/x - Step 3: Cross multiply
169,186,259,325x = 255,958,917,102 × 255,958,917,102 - Step 4: Simplify right side
169,186,259,325x = 65,514,967,244,028,503,916,544 - Step 5: Solve for x
x = 65,514,967,244,028,503,916,544/169,186,259,325 - Step 6: Final answer
x = 387,235,745,416.99
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.