Finding the Third Proportional to 207,197,170,698 and 450,879,196,329
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Solution
The third proportional to 207,197,170,698 and 450,879,196,329 is: 981,152,633,491.28
Step by Step Solution
- Step 1: Write the proportion equation
207,197,170,698 : 450,879,196,329 = 450,879,196,329 : x - Step 2: Convert to fraction form
207,197,170,698/450,879,196,329 = 450,879,196,329/x - Step 3: Cross multiply
207,197,170,698x = 450,879,196,329 × 450,879,196,329 - Step 4: Simplify right side
207,197,170,698x = 203,292,049,682,284,933,021,696 - Step 5: Solve for x
x = 203,292,049,682,284,933,021,696/207,197,170,698 - Step 6: Final answer
x = 981,152,633,491.28
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.