Finding the Third Proportional to 214,571,450.25 and 463,445,439.75
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Solution
The third proportional to 214,571,450.25 and 463,445,439.75 is: 1,000,979,745.32
Step by Step Solution
- Step 1: Write the proportion equation
214,571,450.25 : 463,445,439.75 = 463,445,439.75 : x - Step 2: Convert to fraction form
214,571,450.25/463,445,439.75 = 463,445,439.75/x - Step 3: Cross multiply
214,571,450.25x = 463,445,439.75 × 463,445,439.75 - Step 4: Simplify right side
214,571,450.25x = 214,781,675,625,070,880 - Step 5: Solve for x
x = 214,781,675,625,070,880/214,571,450.25 - Step 6: Final answer
x = 1,000,979,745.32
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.