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Finding the Third Proportional to 102,447,387 and 223,616,934

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Solution

The third proportional to 102,447,387 and 223,616,934 is: 488,099,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,447,387 : 223,616,934 = 223,616,934 : x
  2. Step 2: Convert to fraction form
    102,447,387/223,616,934 = 223,616,934/x
  3. Step 3: Cross multiply
    102,447,387x = 223,616,934 × 223,616,934
  4. Step 4: Simplify right side
    102,447,387x = 50,004,533,171,560,352
  5. Step 5: Solve for x
    x = 50,004,533,171,560,352/102,447,387
  6. Step 6: Final answer
    x = 488,099,644.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.