Finding the Third Proportional to 166,170,832 and 384,655,408
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Solution
The third proportional to 166,170,832 and 384,655,408 is: 890,407,667.36
Step by Step Solution
- Step 1: Write the proportion equation
166,170,832 : 384,655,408 = 384,655,408 : x - Step 2: Convert to fraction form
166,170,832/384,655,408 = 384,655,408/x - Step 3: Cross multiply
166,170,832x = 384,655,408 × 384,655,408 - Step 4: Simplify right side
166,170,832x = 147,959,782,903,646,464 - Step 5: Solve for x
x = 147,959,782,903,646,464/166,170,832 - Step 6: Final answer
x = 890,407,667.36
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.