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Finding the Third Proportional to 101,206,110 and 155,491,999.50

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Solution

The third proportional to 101,206,110 and 155,491,999.50 is: 238,896,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206,110 : 155,491,999.50 = 155,491,999.50 : x
  2. Step 2: Convert to fraction form
    101,206,110/155,491,999.50 = 155,491,999.50/x
  3. Step 3: Cross multiply
    101,206,110x = 155,491,999.50 × 155,491,999.50
  4. Step 4: Simplify right side
    101,206,110x = 24,177,761,908,508,000
  5. Step 5: Solve for x
    x = 24,177,761,908,508,000/101,206,110
  6. Step 6: Final answer
    x = 238,896,267.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.