Finding the Third Proportional to 49,068 and 105,907.50
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Solution
The third proportional to 49,068 and 105,907.50 is: 228,588.87
Step by Step Solution
- Step 1: Write the proportion equation
49,068 : 105,907.50 = 105,907.50 : x - Step 2: Convert to fraction form
49,068/105,907.50 = 105,907.50/x - Step 3: Cross multiply
49,068x = 105,907.50 × 105,907.50 - Step 4: Simplify right side
49,068x = 11,216,398,556.25 - Step 5: Solve for x
x = 11,216,398,556.25/49,068 - Step 6: Final answer
x = 228,588.87
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.