Finding the Third Proportional to 97,098.75 and 212,199.75
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Solution
The third proportional to 97,098.75 and 212,199.75 is: 463,741.64
Step by Step Solution
- Step 1: Write the proportion equation
97,098.75 : 212,199.75 = 212,199.75 : x - Step 2: Convert to fraction form
97,098.75/212,199.75 = 212,199.75/x - Step 3: Cross multiply
97,098.75x = 212,199.75 × 212,199.75 - Step 4: Simplify right side
97,098.75x = 45,028,733,900.06 - Step 5: Solve for x
x = 45,028,733,900.06/97,098.75 - Step 6: Final answer
x = 463,741.64
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.