Finding the Third Proportional to 211,928,715,252.75 and 325,749,629,809.12
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Solution
The third proportional to 211,928,715,252.75 and 325,749,629,809.12 is: 500,700,535,999.70
Step by Step Solution
- Step 1: Write the proportion equation
211,928,715,252.75 : 325,749,629,809.12 = 325,749,629,809.12 : x - Step 2: Convert to fraction form
211,928,715,252.75/325,749,629,809.12 = 325,749,629,809.12/x - Step 3: Cross multiply
211,928,715,252.75x = 325,749,629,809.12 × 325,749,629,809.12 - Step 4: Simplify right side
211,928,715,252.75x = 106,112,821,320,778,715,758,592 - Step 5: Solve for x
x = 106,112,821,320,778,715,758,592/211,928,715,252.75 - Step 6: Final answer
x = 500,700,535,999.70
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.