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Finding the Third Proportional to 111,285,538 and 237,886,230

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Solution

The third proportional to 111,285,538 and 237,886,230 is: 508,510,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,285,538 : 237,886,230 = 237,886,230 : x
  2. Step 2: Convert to fraction form
    111,285,538/237,886,230 = 237,886,230/x
  3. Step 3: Cross multiply
    111,285,538x = 237,886,230 × 237,886,230
  4. Step 4: Simplify right side
    111,285,538x = 56,589,858,423,612,896
  5. Step 5: Solve for x
    x = 56,589,858,423,612,896/111,285,538
  6. Step 6: Final answer
    x = 508,510,444.76

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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.