Finding the Third Proportional to 107,576,302,660 and 160,771,542,414
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Solution
The third proportional to 107,576,302,660 and 160,771,542,414 is: 240,271,214,115.52
Step by Step Solution
- Step 1: Write the proportion equation
107,576,302,660 : 160,771,542,414 = 160,771,542,414 : x - Step 2: Convert to fraction form
107,576,302,660/160,771,542,414 = 160,771,542,414/x - Step 3: Cross multiply
107,576,302,660x = 160,771,542,414 × 160,771,542,414 - Step 4: Simplify right side
107,576,302,660x = 25,847,488,850,176,602,275,840 - Step 5: Solve for x
x = 25,847,488,850,176,602,275,840/107,576,302,660 - Step 6: Final answer
x = 240,271,214,115.52
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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.