Finding the Third Proportional to 47,803 and 103,898
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Solution
The third proportional to 47,803 and 103,898 is: 225,818.35
Step by Step Solution
- Step 1: Write the proportion equation
47,803 : 103,898 = 103,898 : x - Step 2: Convert to fraction form
47,803/103,898 = 103,898/x - Step 3: Cross multiply
47,803x = 103,898 × 103,898 - Step 4: Simplify right side
47,803x = 10,794,794,404 - Step 5: Solve for x
x = 10,794,794,404/47,803 - Step 6: Final answer
x = 225,818.35
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.