Finding the Third Proportional to 102,199,330.13 and 224,183,046.94
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Solution
The third proportional to 102,199,330.13 and 224,183,046.94 is: 491,764,852.79
Step by Step Solution
- Step 1: Write the proportion equation
102,199,330.13 : 224,183,046.94 = 224,183,046.94 : x - Step 2: Convert to fraction form
102,199,330.13/224,183,046.94 = 224,183,046.94/x - Step 3: Cross multiply
102,199,330.13x = 224,183,046.94 × 224,183,046.94 - Step 4: Simplify right side
102,199,330.13x = 50,258,038,534,181,328 - Step 5: Solve for x
x = 50,258,038,534,181,328/102,199,330.13 - Step 6: Final answer
x = 491,764,852.79
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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.