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Finding the Third Proportional to 169,665,037 and 259,428,025

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Solution

The third proportional to 169,665,037 and 259,428,025 is: 396,681,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,665,037 : 259,428,025 = 259,428,025 : x
  2. Step 2: Convert to fraction form
    169,665,037/259,428,025 = 259,428,025/x
  3. Step 3: Cross multiply
    169,665,037x = 259,428,025 × 259,428,025
  4. Step 4: Simplify right side
    169,665,037x = 67,302,900,155,400,624
  5. Step 5: Solve for x
    x = 67,302,900,155,400,624/169,665,037
  6. Step 6: Final answer
    x = 396,681,021.30

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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.