Finding the Third Proportional to 105,016 and 228,464
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Solution
The third proportional to 105,016 and 228,464 is: 497,027.11
Step by Step Solution
- Step 1: Write the proportion equation
105,016 : 228,464 = 228,464 : x - Step 2: Convert to fraction form
105,016/228,464 = 228,464/x - Step 3: Cross multiply
105,016x = 228,464 × 228,464 - Step 4: Simplify right side
105,016x = 52,195,799,296 - Step 5: Solve for x
x = 52,195,799,296/105,016 - Step 6: Final answer
x = 497,027.11
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.