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Finding the Third Proportional to 176,620,400 and 263,204,328

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Solution

The third proportional to 176,620,400 and 263,204,328 is: 392,233,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,620,400 : 263,204,328 = 263,204,328 : x
  2. Step 2: Convert to fraction form
    176,620,400/263,204,328 = 263,204,328/x
  3. Step 3: Cross multiply
    176,620,400x = 263,204,328 × 263,204,328
  4. Step 4: Simplify right side
    176,620,400x = 69,276,518,277,931,584
  5. Step 5: Solve for x
    x = 69,276,518,277,931,584/176,620,400
  6. Step 6: Final answer
    x = 392,233,956.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.