Finding the Third Proportional to 105,759,967 and 231,950,314
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Solution
The third proportional to 105,759,967 and 231,950,314 is: 508,708,064.98
Step by Step Solution
- Step 1: Write the proportion equation
105,759,967 : 231,950,314 = 231,950,314 : x - Step 2: Convert to fraction form
105,759,967/231,950,314 = 231,950,314/x - Step 3: Cross multiply
105,759,967x = 231,950,314 × 231,950,314 - Step 4: Simplify right side
105,759,967x = 53,800,948,164,698,592 - Step 5: Solve for x
x = 53,800,948,164,698,592/105,759,967 - Step 6: Final answer
x = 508,708,064.98
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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.