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Finding the Third Proportional to 119,800,878.50 and 171,198,227.75

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Solution

The third proportional to 119,800,878.50 and 171,198,227.75 is: 244,646,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,800,878.50 : 171,198,227.75 = 171,198,227.75 : x
  2. Step 2: Convert to fraction form
    119,800,878.50/171,198,227.75 = 171,198,227.75/x
  3. Step 3: Cross multiply
    119,800,878.50x = 171,198,227.75 × 171,198,227.75
  4. Step 4: Simplify right side
    119,800,878.50x = 29,308,833,184,740,872
  5. Step 5: Solve for x
    x = 29,308,833,184,740,872/119,800,878.50
  6. Step 6: Final answer
    x = 244,646,229.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.