Finding the Third Proportional to 199,532,184,700.31 and 413,207,908,757.62
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Solution
The third proportional to 199,532,184,700.31 and 413,207,908,757.62 is: 855,705,439,783.02
Step by Step Solution
- Step 1: Write the proportion equation
199,532,184,700.31 : 413,207,908,757.62 = 413,207,908,757.62 : x - Step 2: Convert to fraction form
199,532,184,700.31/413,207,908,757.62 = 413,207,908,757.62/x - Step 3: Cross multiply
199,532,184,700.31x = 413,207,908,757.62 × 413,207,908,757.62 - Step 4: Simplify right side
199,532,184,700.31x = 170,740,775,859,845,603,524,608 - Step 5: Solve for x
x = 170,740,775,859,845,603,524,608/199,532,184,700.31 - Step 6: Final answer
x = 855,705,439,783.02
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.