Finding the Third Proportional to 97,987.50 and 214,650
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Solution
The third proportional to 97,987.50 and 214,650 is: 470,209.18
Step by Step Solution
- Step 1: Write the proportion equation
97,987.50 : 214,650 = 214,650 : x - Step 2: Convert to fraction form
97,987.50/214,650 = 214,650/x - Step 3: Cross multiply
97,987.50x = 214,650 × 214,650 - Step 4: Simplify right side
97,987.50x = 46,074,622,500 - Step 5: Solve for x
x = 46,074,622,500/97,987.50 - Step 6: Final answer
x = 470,209.18
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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.