Finding the Third Proportional to 48,212 and 103,823.50
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Solution
The third proportional to 48,212 and 103,823.50 is: 223,581.66
Step by Step Solution
- Step 1: Write the proportion equation
48,212 : 103,823.50 = 103,823.50 : x - Step 2: Convert to fraction form
48,212/103,823.50 = 103,823.50/x - Step 3: Cross multiply
48,212x = 103,823.50 × 103,823.50 - Step 4: Simplify right side
48,212x = 10,779,319,152.25 - Step 5: Solve for x
x = 10,779,319,152.25/48,212 - Step 6: Final answer
x = 223,581.66
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.