Finding the Third Proportional to 47,300 and 101,776
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Solution
The third proportional to 47,300 and 101,776 is: 218,992.69
Step by Step Solution
- Step 1: Write the proportion equation
47,300 : 101,776 = 101,776 : x - Step 2: Convert to fraction form
47,300/101,776 = 101,776/x - Step 3: Cross multiply
47,300x = 101,776 × 101,776 - Step 4: Simplify right side
47,300x = 10,358,354,176 - Step 5: Solve for x
x = 10,358,354,176/47,300 - Step 6: Final answer
x = 218,992.69
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.