Finding the Third Proportional to 97,971.19 and 146,576.53
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Solution
The third proportional to 97,971.19 and 146,576.53 is: 219,295.90
Step by Step Solution
- Step 1: Write the proportion equation
97,971.19 : 146,576.53 = 146,576.53 : x - Step 2: Convert to fraction form
97,971.19/146,576.53 = 146,576.53/x - Step 3: Cross multiply
97,971.19x = 146,576.53 × 146,576.53 - Step 4: Simplify right side
97,971.19x = 21,484,679,513.28 - Step 5: Solve for x
x = 21,484,679,513.28/97,971.19 - Step 6: Final answer
x = 219,295.90
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.