Finding the Third Proportional to 192,599,216 and 416,612,608
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Solution
The third proportional to 192,599,216 and 416,612,608 is: 901,177,422.99
Step by Step Solution
- Step 1: Write the proportion equation
192,599,216 : 416,612,608 = 416,612,608 : x - Step 2: Convert to fraction form
192,599,216/416,612,608 = 416,612,608/x - Step 3: Cross multiply
192,599,216x = 416,612,608 × 416,612,608 - Step 4: Simplify right side
192,599,216x = 173,566,065,144,561,664 - Step 5: Solve for x
x = 173,566,065,144,561,664/192,599,216 - Step 6: Final answer
x = 901,177,422.99
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.