Finding the Third Proportional to 230,281,416 and 329,305,140
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Solution
The third proportional to 230,281,416 and 329,305,140 is: 470,910,232.85
Step by Step Solution
- Step 1: Write the proportion equation
230,281,416 : 329,305,140 = 329,305,140 : x - Step 2: Convert to fraction form
230,281,416/329,305,140 = 329,305,140/x - Step 3: Cross multiply
230,281,416x = 329,305,140 × 329,305,140 - Step 4: Simplify right side
230,281,416x = 108,441,875,230,419,600 - Step 5: Solve for x
x = 108,441,875,230,419,600/230,281,416 - Step 6: Final answer
x = 470,910,232.85
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.