Home / 204,022,975.92-442,685,109.52

Finding the Third Proportional to 204,022,975.92 and 442,685,109.52

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Solution

The third proportional to 204,022,975.92 and 442,685,109.52 is: 960,529,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,022,975.92 : 442,685,109.52 = 442,685,109.52 : x
  2. Step 2: Convert to fraction form
    204,022,975.92/442,685,109.52 = 442,685,109.52/x
  3. Step 3: Cross multiply
    204,022,975.92x = 442,685,109.52 × 442,685,109.52
  4. Step 4: Simplify right side
    204,022,975.92x = 195,970,106,186,856,480
  5. Step 5: Solve for x
    x = 195,970,106,186,856,480/204,022,975.92
  6. Step 6: Final answer
    x = 960,529,593.79

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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.