Finding the Third Proportional to 43,232 and 100,978
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Solution
The third proportional to 43,232 and 100,978 is: 235,856.69
Step by Step Solution
- Step 1: Write the proportion equation
43,232 : 100,978 = 100,978 : x - Step 2: Convert to fraction form
43,232/100,978 = 100,978/x - Step 3: Cross multiply
43,232x = 100,978 × 100,978 - Step 4: Simplify right side
43,232x = 10,196,556,484 - Step 5: Solve for x
x = 10,196,556,484/43,232 - Step 6: Final answer
x = 235,856.69
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.