Finding the Third Proportional to 192,468,192 and 449,107,968
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Solution
The third proportional to 192,468,192 and 449,107,968 is: 1,047,954,806.58
Step by Step Solution
- Step 1: Write the proportion equation
192,468,192 : 449,107,968 = 449,107,968 : x - Step 2: Convert to fraction form
192,468,192/449,107,968 = 449,107,968/x - Step 3: Cross multiply
192,468,192x = 449,107,968 × 449,107,968 - Step 4: Simplify right side
192,468,192x = 201,697,966,921,089,024 - Step 5: Solve for x
x = 201,697,966,921,089,024/192,468,192 - Step 6: Final answer
x = 1,047,954,806.58
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.