Finding the Third Proportional to 156,997,094,105 and 342,409,009,990
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Solution
The third proportional to 156,997,094,105 and 342,409,009,990 is: 746,790,447,241.78
Step by Step Solution
- Step 1: Write the proportion equation
156,997,094,105 : 342,409,009,990 = 342,409,009,990 : x - Step 2: Convert to fraction form
156,997,094,105/342,409,009,990 = 342,409,009,990/x - Step 3: Cross multiply
156,997,094,105x = 342,409,009,990 × 342,409,009,990 - Step 4: Simplify right side
156,997,094,105x = 117,243,930,122,331,923,415,040 - Step 5: Solve for x
x = 117,243,930,122,331,923,415,040/156,997,094,105 - Step 6: Final answer
x = 746,790,447,241.78
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.