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Finding the Third Proportional to 223,725,909 and 527,384,172

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Solution

The third proportional to 223,725,909 and 527,384,172 is: 1,243,191,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,725,909 : 527,384,172 = 527,384,172 : x
  2. Step 2: Convert to fraction form
    223,725,909/527,384,172 = 527,384,172/x
  3. Step 3: Cross multiply
    223,725,909x = 527,384,172 × 527,384,172
  4. Step 4: Simplify right side
    223,725,909x = 278,134,064,876,125,568
  5. Step 5: Solve for x
    x = 278,134,064,876,125,568/223,725,909
  6. Step 6: Final answer
    x = 1,243,191,126.68

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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.