Finding the Third Proportional to 83,178,340 and 185,482,064
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Solution
The third proportional to 83,178,340 and 185,482,064 is: 413,612,438.84
Step by Step Solution
- Step 1: Write the proportion equation
83,178,340 : 185,482,064 = 185,482,064 : x - Step 2: Convert to fraction form
83,178,340/185,482,064 = 185,482,064/x - Step 3: Cross multiply
83,178,340x = 185,482,064 × 185,482,064 - Step 4: Simplify right side
83,178,340x = 34,403,596,065,700,096 - Step 5: Solve for x
x = 34,403,596,065,700,096/83,178,340 - Step 6: Final answer
x = 413,612,438.84
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.