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Finding the Third Proportional to 169,667,076 and 259,430,922

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Solution

The third proportional to 169,667,076 and 259,430,922 is: 396,685,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,667,076 : 259,430,922 = 259,430,922 : x
  2. Step 2: Convert to fraction form
    169,667,076/259,430,922 = 259,430,922/x
  3. Step 3: Cross multiply
    169,667,076x = 259,430,922 × 259,430,922
  4. Step 4: Simplify right side
    169,667,076x = 67,304,403,289,770,080
  5. Step 5: Solve for x
    x = 67,304,403,289,770,080/169,667,076
  6. Step 6: Final answer
    x = 396,685,113.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.