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Finding the Third Proportional to 111,285,542 and 237,886,238

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Solution

The third proportional to 111,285,542 and 237,886,238 is: 508,510,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,285,542 : 237,886,238 = 237,886,238 : x
  2. Step 2: Convert to fraction form
    111,285,542/237,886,238 = 237,886,238/x
  3. Step 3: Cross multiply
    111,285,542x = 237,886,238 × 237,886,238
  4. Step 4: Simplify right side
    111,285,542x = 56,589,862,229,792,640
  5. Step 5: Solve for x
    x = 56,589,862,229,792,640/111,285,542
  6. Step 6: Final answer
    x = 508,510,460.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.