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Finding the Third Proportional to 128,203,264 and 302,336,224

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Solution

The third proportional to 128,203,264 and 302,336,224 is: 712,986,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,203,264 : 302,336,224 = 302,336,224 : x
  2. Step 2: Convert to fraction form
    128,203,264/302,336,224 = 302,336,224/x
  3. Step 3: Cross multiply
    128,203,264x = 302,336,224 × 302,336,224
  4. Step 4: Simplify right side
    128,203,264x = 91,407,192,342,578,176
  5. Step 5: Solve for x
    x = 91,407,192,342,578,176/128,203,264
  6. Step 6: Final answer
    x = 712,986,467.67

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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.