Finding the Third Proportional to 193,121,997 and 413,857,047
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Solution
The third proportional to 193,121,997 and 413,857,047 is: 886,888,381.50
Step by Step Solution
- Step 1: Write the proportion equation
193,121,997 : 413,857,047 = 413,857,047 : x - Step 2: Convert to fraction form
193,121,997/413,857,047 = 413,857,047/x - Step 3: Cross multiply
193,121,997x = 413,857,047 × 413,857,047 - Step 4: Simplify right side
193,121,997x = 171,277,655,351,560,224 - Step 5: Solve for x
x = 171,277,655,351,560,224/193,121,997 - Step 6: Final answer
x = 886,888,381.50
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.