Finding the Third Proportional to 92,429 and 197,146
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Solution
The third proportional to 92,429 and 197,146 is: 420,501.63
Step by Step Solution
- Step 1: Write the proportion equation
92,429 : 197,146 = 197,146 : x - Step 2: Convert to fraction form
92,429/197,146 = 197,146/x - Step 3: Cross multiply
92,429x = 197,146 × 197,146 - Step 4: Simplify right side
92,429x = 38,866,545,316 - Step 5: Solve for x
x = 38,866,545,316/92,429 - Step 6: Final answer
x = 420,501.63
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.