Finding the Third Proportional to 106,035.75 and 230,729.06
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Solution
The third proportional to 106,035.75 and 230,729.06 is: 502,056.15
Step by Step Solution
- Step 1: Write the proportion equation
106,035.75 : 230,729.06 = 230,729.06 : x - Step 2: Convert to fraction form
106,035.75/230,729.06 = 230,729.06/x - Step 3: Cross multiply
106,035.75x = 230,729.06 × 230,729.06 - Step 4: Simplify right side
106,035.75x = 53,235,900,282.13 - Step 5: Solve for x
x = 53,235,900,282.13/106,035.75 - Step 6: Final answer
x = 502,056.15
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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.