Finding the Third Proportional to 97,824 and 148,791.75
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Solution
The third proportional to 97,824 and 148,791.75 is: 226,314.45
Step by Step Solution
- Step 1: Write the proportion equation
97,824 : 148,791.75 = 148,791.75 : x - Step 2: Convert to fraction form
97,824/148,791.75 = 148,791.75/x - Step 3: Cross multiply
97,824x = 148,791.75 × 148,791.75 - Step 4: Simplify right side
97,824x = 22,138,984,868.06 - Step 5: Solve for x
x = 22,138,984,868.06/97,824 - Step 6: Final answer
x = 226,314.45
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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.