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Finding the Third Proportional to 46,022,149.50 and 102,259,980

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Solution

The third proportional to 46,022,149.50 and 102,259,980 is: 227,218,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022,149.50 : 102,259,980 = 102,259,980 : x
  2. Step 2: Convert to fraction form
    46,022,149.50/102,259,980 = 102,259,980/x
  3. Step 3: Cross multiply
    46,022,149.50x = 102,259,980 × 102,259,980
  4. Step 4: Simplify right side
    46,022,149.50x = 10,457,103,509,600,400
  5. Step 5: Solve for x
    x = 10,457,103,509,600,400/46,022,149.50
  6. Step 6: Final answer
    x = 227,218,928.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.