Finding the Third Proportional to 47,886 and 102,288
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Solution
The third proportional to 47,886 and 102,288 is: 218,494.65
Step by Step Solution
- Step 1: Write the proportion equation
47,886 : 102,288 = 102,288 : x - Step 2: Convert to fraction form
47,886/102,288 = 102,288/x - Step 3: Cross multiply
47,886x = 102,288 × 102,288 - Step 4: Simplify right side
47,886x = 10,462,834,944 - Step 5: Solve for x
x = 10,462,834,944/47,886 - Step 6: Final answer
x = 218,494.65
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.