Finding the Third Proportional to 102,197,417 and 224,180,462
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Solution
The third proportional to 102,197,417 and 224,180,462 is: 491,762,717.86
Step by Step Solution
- Step 1: Write the proportion equation
102,197,417 : 224,180,462 = 224,180,462 : x - Step 2: Convert to fraction form
102,197,417/224,180,462 = 224,180,462/x - Step 3: Cross multiply
102,197,417x = 224,180,462 × 224,180,462 - Step 4: Simplify right side
102,197,417x = 50,256,879,542,533,440 - Step 5: Solve for x
x = 50,256,879,542,533,440/102,197,417 - Step 6: Final answer
x = 491,762,717.86
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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.