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Finding the Third Proportional to 128,203,212 and 302,336,094

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Solution

The third proportional to 128,203,212 and 302,336,094 is: 712,986,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,203,212 : 302,336,094 = 302,336,094 : x
  2. Step 2: Convert to fraction form
    128,203,212/302,336,094 = 302,336,094/x
  3. Step 3: Cross multiply
    128,203,212x = 302,336,094 × 302,336,094
  4. Step 4: Simplify right side
    128,203,212x = 91,407,113,735,176,832
  5. Step 5: Solve for x
    x = 91,407,113,735,176,832/128,203,212
  6. Step 6: Final answer
    x = 712,986,143.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.