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Finding the Third Proportional to 49,143,793.50 and 106,641,074.25

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Solution

The third proportional to 49,143,793.50 and 106,641,074.25 is: 231,409,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143,793.50 : 106,641,074.25 = 106,641,074.25 : x
  2. Step 2: Convert to fraction form
    49,143,793.50/106,641,074.25 = 106,641,074.25/x
  3. Step 3: Cross multiply
    49,143,793.50x = 106,641,074.25 × 106,641,074.25
  4. Step 4: Simplify right side
    49,143,793.50x = 11,372,318,717,194,014
  5. Step 5: Solve for x
    x = 11,372,318,717,194,014/49,143,793.50
  6. Step 6: Final answer
    x = 231,409,053.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.