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Finding the Third Proportional to 225,396,432 and 339,868,388.25

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Solution

The third proportional to 225,396,432 and 339,868,388.25 is: 512,477,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,396,432 : 339,868,388.25 = 339,868,388.25 : x
  2. Step 2: Convert to fraction form
    225,396,432/339,868,388.25 = 339,868,388.25/x
  3. Step 3: Cross multiply
    225,396,432x = 339,868,388.25 × 339,868,388.25
  4. Step 4: Simplify right side
    225,396,432x = 115,510,521,331,652,736
  5. Step 5: Solve for x
    x = 115,510,521,331,652,736/225,396,432
  6. Step 6: Final answer
    x = 512,477,151.07

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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.