Finding the Third Proportional to 106,206,193.75 and 164,025,920.75
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Solution
The third proportional to 106,206,193.75 and 164,025,920.75 is: 253,323,292.44
Step by Step Solution
- Step 1: Write the proportion equation
106,206,193.75 : 164,025,920.75 = 164,025,920.75 : x - Step 2: Convert to fraction form
106,206,193.75/164,025,920.75 = 164,025,920.75/x - Step 3: Cross multiply
106,206,193.75x = 164,025,920.75 × 164,025,920.75 - Step 4: Simplify right side
106,206,193.75x = 26,904,502,677,885,280 - Step 5: Solve for x
x = 26,904,502,677,885,280/106,206,193.75 - Step 6: Final answer
x = 253,323,292.44
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.