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Finding the Third Proportional to 223,725,911 and 527,384,177

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Solution

The third proportional to 223,725,911 and 527,384,177 is: 1,243,191,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,725,911 : 527,384,177 = 527,384,177 : x
  2. Step 2: Convert to fraction form
    223,725,911/527,384,177 = 527,384,177/x
  3. Step 3: Cross multiply
    223,725,911x = 527,384,177 × 527,384,177
  4. Step 4: Simplify right side
    223,725,911x = 278,134,070,149,967,328
  5. Step 5: Solve for x
    x = 278,134,070,149,967,328/223,725,911
  6. Step 6: Final answer
    x = 1,243,191,139.13

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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.