Finding the Third Proportional to 47,098 and 102,944
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Solution
The third proportional to 47,098 and 102,944 is: 225,008.86
Step by Step Solution
- Step 1: Write the proportion equation
47,098 : 102,944 = 102,944 : x - Step 2: Convert to fraction form
47,098/102,944 = 102,944/x - Step 3: Cross multiply
47,098x = 102,944 × 102,944 - Step 4: Simplify right side
47,098x = 10,597,467,136 - Step 5: Solve for x
x = 10,597,467,136/47,098 - Step 6: Final answer
x = 225,008.86
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.