Finding the Third Proportional to 145,143,383,518.69 and 201,810,273,191.72
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Solution
The third proportional to 145,143,383,518.69 and 201,810,273,191.72 is: 280,601,053,788.11
Step by Step Solution
- Step 1: Write the proportion equation
145,143,383,518.69 : 201,810,273,191.72 = 201,810,273,191.72 : x - Step 2: Convert to fraction form
145,143,383,518.69/201,810,273,191.72 = 201,810,273,191.72/x - Step 3: Cross multiply
145,143,383,518.69x = 201,810,273,191.72 × 201,810,273,191.72 - Step 4: Simplify right side
145,143,383,518.69x = 40,727,386,365,716,661,796,864 - Step 5: Solve for x
x = 40,727,386,365,716,661,796,864/145,143,383,518.69 - Step 6: Final answer
x = 280,601,053,788.11
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.