Finding the Third Proportional to 105,016 and 230,445
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Solution
The third proportional to 105,016 and 230,445 is: 505,683.88
Step by Step Solution
- Step 1: Write the proportion equation
105,016 : 230,445 = 230,445 : x - Step 2: Convert to fraction form
105,016/230,445 = 230,445/x - Step 3: Cross multiply
105,016x = 230,445 × 230,445 - Step 4: Simplify right side
105,016x = 53,104,898,025 - Step 5: Solve for x
x = 53,104,898,025/105,016 - Step 6: Final answer
x = 505,683.88
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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.