Finding the Third Proportional to 105,964,357,820 and 162,874,815,230
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Solution
The third proportional to 105,964,357,820 and 162,874,815,230 is: 250,350,268,542.84
Step by Step Solution
- Step 1: Write the proportion equation
105,964,357,820 : 162,874,815,230 = 162,874,815,230 : x - Step 2: Convert to fraction form
105,964,357,820/162,874,815,230 = 162,874,815,230/x - Step 3: Cross multiply
105,964,357,820x = 162,874,815,230 × 162,874,815,230 - Step 4: Simplify right side
105,964,357,820x = 26,528,205,436,206,639,480,832 - Step 5: Solve for x
x = 26,528,205,436,206,639,480,832/105,964,357,820 - Step 6: Final answer
x = 250,350,268,542.84
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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.