Finding the Third Proportional to 106,008 and 230,419.50
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Solution
The third proportional to 106,008 and 230,419.50 is: 500,840.94
Step by Step Solution
- Step 1: Write the proportion equation
106,008 : 230,419.50 = 230,419.50 : x - Step 2: Convert to fraction form
106,008/230,419.50 = 230,419.50/x - Step 3: Cross multiply
106,008x = 230,419.50 × 230,419.50 - Step 4: Simplify right side
106,008x = 53,093,145,980.25 - Step 5: Solve for x
x = 53,093,145,980.25/106,008 - Step 6: Final answer
x = 500,840.94
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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.