Finding the Third Proportional to 201,214,761 and 431,114,226
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Solution
The third proportional to 201,214,761 and 431,114,226 is: 923,687,084.07
Step by Step Solution
- Step 1: Write the proportion equation
201,214,761 : 431,114,226 = 431,114,226 : x - Step 2: Convert to fraction form
201,214,761/431,114,226 = 431,114,226/x - Step 3: Cross multiply
201,214,761x = 431,114,226 × 431,114,226 - Step 4: Simplify right side
201,214,761x = 185,859,475,859,579,072 - Step 5: Solve for x
x = 185,859,475,859,579,072/201,214,761 - Step 6: Final answer
x = 923,687,084.07
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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.