Finding the Third Proportional to 45,442 and 99,308
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Solution
The third proportional to 45,442 and 99,308 is: 217,025.63
Step by Step Solution
- Step 1: Write the proportion equation
45,442 : 99,308 = 99,308 : x - Step 2: Convert to fraction form
45,442/99,308 = 99,308/x - Step 3: Cross multiply
45,442x = 99,308 × 99,308 - Step 4: Simplify right side
45,442x = 9,862,078,864 - Step 5: Solve for x
x = 9,862,078,864/45,442 - Step 6: Final answer
x = 217,025.63
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.