Finding the Third Proportional to 110,886,823.13 and 172,378,383.19
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Solution
The third proportional to 110,886,823.13 and 172,378,383.19 is: 267,969,684.34
Step by Step Solution
- Step 1: Write the proportion equation
110,886,823.13 : 172,378,383.19 = 172,378,383.19 : x - Step 2: Convert to fraction form
110,886,823.13/172,378,383.19 = 172,378,383.19/x - Step 3: Cross multiply
110,886,823.13x = 172,378,383.19 × 172,378,383.19 - Step 4: Simplify right side
110,886,823.13x = 29,714,306,990,336,584 - Step 5: Solve for x
x = 29,714,306,990,336,584/110,886,823.13 - Step 6: Final answer
x = 267,969,684.34
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.