Finding the Third Proportional to 201,214,760 and 431,114,224
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Solution
The third proportional to 201,214,760 and 431,114,224 is: 923,687,080.09
Step by Step Solution
- Step 1: Write the proportion equation
201,214,760 : 431,114,224 = 431,114,224 : x - Step 2: Convert to fraction form
201,214,760/431,114,224 = 431,114,224/x - Step 3: Cross multiply
201,214,760x = 431,114,224 × 431,114,224 - Step 4: Simplify right side
201,214,760x = 185,859,474,135,122,176 - Step 5: Solve for x
x = 185,859,474,135,122,176/201,214,760 - Step 6: Final answer
x = 923,687,080.09
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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.