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Finding the Third Proportional to 171,345,823 and 261,036,238

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Solution

The third proportional to 171,345,823 and 261,036,238 is: 397,674,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,823 : 261,036,238 = 261,036,238 : x
  2. Step 2: Convert to fraction form
    171,345,823/261,036,238 = 261,036,238/x
  3. Step 3: Cross multiply
    171,345,823x = 261,036,238 × 261,036,238
  4. Step 4: Simplify right side
    171,345,823x = 68,139,917,549,192,640
  5. Step 5: Solve for x
    x = 68,139,917,549,192,640/171,345,823
  6. Step 6: Final answer
    x = 397,674,809.67

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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.