Finding the Third Proportional to 200,836,960,209 and 436,976,078,814
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Solution
The third proportional to 200,836,960,209 and 436,976,078,814 is: 950,761,718,644.57
Step by Step Solution
- Step 1: Write the proportion equation
200,836,960,209 : 436,976,078,814 = 436,976,078,814 : x - Step 2: Convert to fraction form
200,836,960,209/436,976,078,814 = 436,976,078,814/x - Step 3: Cross multiply
200,836,960,209x = 436,976,078,814 × 436,976,078,814 - Step 4: Simplify right side
200,836,960,209x = 190,948,093,455,659,134,091,264 - Step 5: Solve for x
x = 190,948,093,455,659,134,091,264/200,836,960,209 - Step 6: Final answer
x = 950,761,718,644.57
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.