Finding the Third Proportional to 102,096,092 and 224,029,408
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Solution
The third proportional to 102,096,092 and 224,029,408 is: 491,587,627.55
Step by Step Solution
- Step 1: Write the proportion equation
102,096,092 : 224,029,408 = 224,029,408 : x - Step 2: Convert to fraction form
102,096,092/224,029,408 = 224,029,408/x - Step 3: Cross multiply
102,096,092x = 224,029,408 × 224,029,408 - Step 4: Simplify right side
102,096,092x = 50,189,175,648,830,464 - Step 5: Solve for x
x = 50,189,175,648,830,464/102,096,092 - Step 6: Final answer
x = 491,587,627.55
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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.