Finding the Third Proportional to 102,096,110 and 224,029,440
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Solution
The third proportional to 102,096,110 and 224,029,440 is: 491,587,681.32
Step by Step Solution
- Step 1: Write the proportion equation
102,096,110 : 224,029,440 = 224,029,440 : x - Step 2: Convert to fraction form
102,096,110/224,029,440 = 224,029,440/x - Step 3: Cross multiply
102,096,110x = 224,029,440 × 224,029,440 - Step 4: Simplify right side
102,096,110x = 50,189,189,986,713,600 - Step 5: Solve for x
x = 50,189,189,986,713,600/102,096,110 - Step 6: Final answer
x = 491,587,681.32
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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.