Finding the Third Proportional to 208,154,704,066 and 280,849,565,635
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Solution
The third proportional to 208,154,704,066 and 280,849,565,635 is: 378,932,000,942.72
Step by Step Solution
- Step 1: Write the proportion equation
208,154,704,066 : 280,849,565,635 = 280,849,565,635 : x - Step 2: Convert to fraction form
208,154,704,066/280,849,565,635 = 280,849,565,635/x - Step 3: Cross multiply
208,154,704,066x = 280,849,565,635 × 280,849,565,635 - Step 4: Simplify right side
208,154,704,066x = 78,876,478,517,368,177,295,360 - Step 5: Solve for x
x = 78,876,478,517,368,177,295,360/208,154,704,066 - Step 6: Final answer
x = 378,932,000,942.72
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.