Finding the Third Proportional to 45,462 and 99,948
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Solution
The third proportional to 45,462 and 99,948 is: 219,735.22
Step by Step Solution
- Step 1: Write the proportion equation
45,462 : 99,948 = 99,948 : x - Step 2: Convert to fraction form
45,462/99,948 = 99,948/x - Step 3: Cross multiply
45,462x = 99,948 × 99,948 - Step 4: Simplify right side
45,462x = 9,989,602,704 - Step 5: Solve for x
x = 9,989,602,704/45,462 - Step 6: Final answer
x = 219,735.22
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.