Finding the Third Proportional to 97,989.75 and 214,663.50
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Solution
The third proportional to 97,989.75 and 214,663.50 is: 470,257.53
Step by Step Solution
- Step 1: Write the proportion equation
97,989.75 : 214,663.50 = 214,663.50 : x - Step 2: Convert to fraction form
97,989.75/214,663.50 = 214,663.50/x - Step 3: Cross multiply
97,989.75x = 214,663.50 × 214,663.50 - Step 4: Simplify right side
97,989.75x = 46,080,418,232.25 - Step 5: Solve for x
x = 46,080,418,232.25/97,989.75 - Step 6: Final answer
x = 470,257.53
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.