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Finding the Third Proportional to 171,345,757 and 261,036,150

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Solution

The third proportional to 171,345,757 and 261,036,150 is: 397,674,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,757 : 261,036,150 = 261,036,150 : x
  2. Step 2: Convert to fraction form
    171,345,757/261,036,150 = 261,036,150/x
  3. Step 3: Cross multiply
    171,345,757x = 261,036,150 × 261,036,150
  4. Step 4: Simplify right side
    171,345,757x = 68,139,871,606,822,496
  5. Step 5: Solve for x
    x = 68,139,871,606,822,496/171,345,757
  6. Step 6: Final answer
    x = 397,674,694.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.