Finding the Third Proportional to 97,431.75 and 213,999.75
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Solution
The third proportional to 97,431.75 and 213,999.75 is: 470,030.49
Step by Step Solution
- Step 1: Write the proportion equation
97,431.75 : 213,999.75 = 213,999.75 : x - Step 2: Convert to fraction form
97,431.75/213,999.75 = 213,999.75/x - Step 3: Cross multiply
97,431.75x = 213,999.75 × 213,999.75 - Step 4: Simplify right side
97,431.75x = 45,795,893,000.06 - Step 5: Solve for x
x = 45,795,893,000.06/97,431.75 - Step 6: Final answer
x = 470,030.49
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.