Finding the Third Proportional to 48,306.38 and 97,977.09
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Solution
The third proportional to 48,306.38 and 97,977.09 is: 198,721.41
Step by Step Solution
- Step 1: Write the proportion equation
48,306.38 : 97,977.09 = 97,977.09 : x - Step 2: Convert to fraction form
48,306.38/97,977.09 = 97,977.09/x - Step 3: Cross multiply
48,306.38x = 97,977.09 × 97,977.09 - Step 4: Simplify right side
48,306.38x = 9,599,510,899.70 - Step 5: Solve for x
x = 9,599,510,899.70/48,306.38 - Step 6: Final answer
x = 198,721.41
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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.