Finding the Third Proportional to 47,703.94 and 107,778.09
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Solution
The third proportional to 47,703.94 and 107,778.09 is: 243,504.38
Step by Step Solution
- Step 1: Write the proportion equation
47,703.94 : 107,778.09 = 107,778.09 : x - Step 2: Convert to fraction form
47,703.94/107,778.09 = 107,778.09/x - Step 3: Cross multiply
47,703.94x = 107,778.09 × 107,778.09 - Step 4: Simplify right side
47,703.94x = 11,616,117,492.38 - Step 5: Solve for x
x = 11,616,117,492.38/47,703.94 - Step 6: Final answer
x = 243,504.38
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.