Finding the Third Proportional to 82,203,602 and 178,878,348
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Solution
The third proportional to 82,203,602 and 178,878,348 is: 389,246,488.05
Step by Step Solution
- Step 1: Write the proportion equation
82,203,602 : 178,878,348 = 178,878,348 : x - Step 2: Convert to fraction form
82,203,602/178,878,348 = 178,878,348/x - Step 3: Cross multiply
82,203,602x = 178,878,348 × 178,878,348 - Step 4: Simplify right side
82,203,602x = 31,997,463,383,209,104 - Step 5: Solve for x
x = 31,997,463,383,209,104/82,203,602 - Step 6: Final answer
x = 389,246,488.05
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.