Finding the Third Proportional to 200,429,378 and 419,184,711
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Solution
The third proportional to 200,429,378 and 419,184,711 is: 876,696,937.79
Step by Step Solution
- Step 1: Write the proportion equation
200,429,378 : 419,184,711 = 419,184,711 : x - Step 2: Convert to fraction form
200,429,378/419,184,711 = 419,184,711/x - Step 3: Cross multiply
200,429,378x = 419,184,711 × 419,184,711 - Step 4: Simplify right side
200,429,378x = 175,715,821,936,153,536 - Step 5: Solve for x
x = 175,715,821,936,153,536/200,429,378 - Step 6: Final answer
x = 876,696,937.79
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.