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Finding the Third Proportional to 171,911,916 and 371,048,436

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Solution

The third proportional to 171,911,916 and 371,048,436 is: 800,857,468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,911,916 : 371,048,436 = 371,048,436 : x
  2. Step 2: Convert to fraction form
    171,911,916/371,048,436 = 371,048,436/x
  3. Step 3: Cross multiply
    171,911,916x = 371,048,436 × 371,048,436
  4. Step 4: Simplify right side
    171,911,916x = 137,676,941,858,046,096
  5. Step 5: Solve for x
    x = 137,676,941,858,046,096/171,911,916
  6. Step 6: Final answer
    x = 800,857,468.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.