Finding the Third Proportional to 208,368,864 and 452,608,416
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Solution
The third proportional to 208,368,864 and 452,608,416 is: 983,133,344.88
Step by Step Solution
- Step 1: Write the proportion equation
208,368,864 : 452,608,416 = 452,608,416 : x - Step 2: Convert to fraction form
208,368,864/452,608,416 = 452,608,416/x - Step 3: Cross multiply
208,368,864x = 452,608,416 × 452,608,416 - Step 4: Simplify right side
208,368,864x = 204,854,378,234,029,056 - Step 5: Solve for x
x = 204,854,378,234,029,056/208,368,864 - Step 6: Final answer
x = 983,133,344.88
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.