Home / 102,131,011.69-219,140,295.75

Finding the Third Proportional to 102,131,011.69 and 219,140,295.75

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Solution

The third proportional to 102,131,011.69 and 219,140,295.75 is: 470,204,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,131,011.69 : 219,140,295.75 = 219,140,295.75 : x
  2. Step 2: Convert to fraction form
    102,131,011.69/219,140,295.75 = 219,140,295.75/x
  3. Step 3: Cross multiply
    102,131,011.69x = 219,140,295.75 × 219,140,295.75
  4. Step 4: Simplify right side
    102,131,011.69x = 48,022,469,221,397,472
  5. Step 5: Solve for x
    x = 48,022,469,221,397,472/102,131,011.69
  6. Step 6: Final answer
    x = 470,204,577.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.