Finding the Third Proportional to 49,437.84 and 102,378.94
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Solution
The third proportional to 49,437.84 and 102,378.94 is: 212,012.62
Step by Step Solution
- Step 1: Write the proportion equation
49,437.84 : 102,378.94 = 102,378.94 : x - Step 2: Convert to fraction form
49,437.84/102,378.94 = 102,378.94/x - Step 3: Cross multiply
49,437.84x = 102,378.94 × 102,378.94 - Step 4: Simplify right side
49,437.84x = 10,481,446,843.63 - Step 5: Solve for x
x = 10,481,446,843.63/49,437.84 - Step 6: Final answer
x = 212,012.62
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.