Finding the Third Proportional to 103,694 and 217,830
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Solution
The third proportional to 103,694 and 217,830 is: 457,595.51
Step by Step Solution
- Step 1: Write the proportion equation
103,694 : 217,830 = 217,830 : x - Step 2: Convert to fraction form
103,694/217,830 = 217,830/x - Step 3: Cross multiply
103,694x = 217,830 × 217,830 - Step 4: Simplify right side
103,694x = 47,449,908,900 - Step 5: Solve for x
x = 47,449,908,900/103,694 - Step 6: Final answer
x = 457,595.51
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.