Finding the Third Proportional to 83,974,530,089.50 and 185,065,743,803
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Solution
The third proportional to 83,974,530,089.50 and 185,065,743,803 is: 407,853,780,102.79
Step by Step Solution
- Step 1: Write the proportion equation
83,974,530,089.50 : 185,065,743,803 = 185,065,743,803 : x - Step 2: Convert to fraction form
83,974,530,089.50/185,065,743,803 = 185,065,743,803/x - Step 3: Cross multiply
83,974,530,089.50x = 185,065,743,803 × 185,065,743,803 - Step 4: Simplify right side
83,974,530,089.50x = 34,249,329,529,357,632,274,432 - Step 5: Solve for x
x = 34,249,329,529,357,632,274,432/83,974,530,089.50 - Step 6: Final answer
x = 407,853,780,102.79
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.