Finding the Third Proportional to 171,345,840 and 261,036,264
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Solution
The third proportional to 171,345,840 and 261,036,264 is: 397,674,849.43
Step by Step Solution
- Step 1: Write the proportion equation
171,345,840 : 261,036,264 = 261,036,264 : x - Step 2: Convert to fraction form
171,345,840/261,036,264 = 261,036,264/x - Step 3: Cross multiply
171,345,840x = 261,036,264 × 261,036,264 - Step 4: Simplify right side
171,345,840x = 68,139,931,123,077,696 - Step 5: Solve for x
x = 68,139,931,123,077,696/171,345,840 - Step 6: Final answer
x = 397,674,849.43
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.