Finding the Third Proportional to 97,956 and 212,532
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Solution
The third proportional to 97,956 and 212,532 is: 461,123.88
Step by Step Solution
- Step 1: Write the proportion equation
97,956 : 212,532 = 212,532 : x - Step 2: Convert to fraction form
97,956/212,532 = 212,532/x - Step 3: Cross multiply
97,956x = 212,532 × 212,532 - Step 4: Simplify right side
97,956x = 45,169,851,024 - Step 5: Solve for x
x = 45,169,851,024/97,956 - Step 6: Final answer
x = 461,123.88
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.