Finding the Third Proportional to 47,806 and 103,904
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Solution
The third proportional to 47,806 and 103,904 is: 225,830.26
Step by Step Solution
- Step 1: Write the proportion equation
47,806 : 103,904 = 103,904 : x - Step 2: Convert to fraction form
47,806/103,904 = 103,904/x - Step 3: Cross multiply
47,806x = 103,904 × 103,904 - Step 4: Simplify right side
47,806x = 10,796,041,216 - Step 5: Solve for x
x = 10,796,041,216/47,806 - Step 6: Final answer
x = 225,830.26
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.