Finding the Third Proportional to 49,217 and 105,404.50
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Solution
The third proportional to 49,217 and 105,404.50 is: 225,737.22
Step by Step Solution
- Step 1: Write the proportion equation
49,217 : 105,404.50 = 105,404.50 : x - Step 2: Convert to fraction form
49,217/105,404.50 = 105,404.50/x - Step 3: Cross multiply
49,217x = 105,404.50 × 105,404.50 - Step 4: Simplify right side
49,217x = 11,110,108,620.25 - Step 5: Solve for x
x = 11,110,108,620.25/49,217 - Step 6: Final answer
x = 225,737.22
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.