Finding the Third Proportional to 93,770,998,280.75 and 201,154,389,138
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Solution
The third proportional to 93,770,998,280.75 and 201,154,389,138 is: 431,509,624,631.87
Step by Step Solution
- Step 1: Write the proportion equation
93,770,998,280.75 : 201,154,389,138 = 201,154,389,138 : x - Step 2: Convert to fraction form
93,770,998,280.75/201,154,389,138 = 201,154,389,138/x - Step 3: Cross multiply
93,770,998,280.75x = 201,154,389,138 × 201,154,389,138 - Step 4: Simplify right side
93,770,998,280.75x = 40,463,088,269,481,933,275,136 - Step 5: Solve for x
x = 40,463,088,269,481,933,275,136/93,770,998,280.75 - Step 6: Final answer
x = 431,509,624,631.87
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.