Finding the Third Proportional to 47,409.75 and 102,291.75
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Solution
The third proportional to 47,409.75 and 102,291.75 is: 220,705.70
Step by Step Solution
- Step 1: Write the proportion equation
47,409.75 : 102,291.75 = 102,291.75 : x - Step 2: Convert to fraction form
47,409.75/102,291.75 = 102,291.75/x - Step 3: Cross multiply
47,409.75x = 102,291.75 × 102,291.75 - Step 4: Simplify right side
47,409.75x = 10,463,602,118.06 - Step 5: Solve for x
x = 10,463,602,118.06/47,409.75 - Step 6: Final answer
x = 220,705.70
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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.