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Finding the Third Proportional to 225,396,434 and 339,868,391

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Solution

The third proportional to 225,396,434 and 339,868,391 is: 512,477,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,396,434 : 339,868,391 = 339,868,391 : x
  2. Step 2: Convert to fraction form
    225,396,434/339,868,391 = 339,868,391/x
  3. Step 3: Cross multiply
    225,396,434x = 339,868,391 × 339,868,391
  4. Step 4: Simplify right side
    225,396,434x = 115,510,523,200,928,880
  5. Step 5: Solve for x
    x = 115,510,523,200,928,880/225,396,434
  6. Step 6: Final answer
    x = 512,477,154.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.