Finding the Third Proportional to 90,584,819,764 and 135,091,688,478
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Solution
The third proportional to 90,584,819,764 and 135,091,688,478 is: 201,466,033,087.92
Step by Step Solution
- Step 1: Write the proportion equation
90,584,819,764 : 135,091,688,478 = 135,091,688,478 : x - Step 2: Convert to fraction form
90,584,819,764/135,091,688,478 = 135,091,688,478/x - Step 3: Cross multiply
90,584,819,764x = 135,091,688,478 × 135,091,688,478 - Step 4: Simplify right side
90,584,819,764x = 18,249,764,295,836,998,565,888 - Step 5: Solve for x
x = 18,249,764,295,836,998,565,888/90,584,819,764 - Step 6: Final answer
x = 201,466,033,087.92
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.