Finding the Third Proportional to 269,048,697.75 and 384,740,096.25
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Solution
The third proportional to 269,048,697.75 and 384,740,096.25 is: 550,178,993.25
Step by Step Solution
- Step 1: Write the proportion equation
269,048,697.75 : 384,740,096.25 = 384,740,096.25 : x - Step 2: Convert to fraction form
269,048,697.75/384,740,096.25 = 384,740,096.25/x - Step 3: Cross multiply
269,048,697.75x = 384,740,096.25 × 384,740,096.25 - Step 4: Simplify right side
269,048,697.75x = 148,024,941,662,459,264 - Step 5: Solve for x
x = 148,024,941,662,459,264/269,048,697.75 - Step 6: Final answer
x = 550,178,993.25
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.