Home / 204,023,019.75-442,685,193.38

Finding the Third Proportional to 204,023,019.75 and 442,685,193.38

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Solution

The third proportional to 204,023,019.75 and 442,685,193.38 is: 960,529,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,019.75 : 442,685,193.38 = 442,685,193.38 : x
  2. Step 2: Convert to fraction form
    204,023,019.75/442,685,193.38 = 442,685,193.38/x
  3. Step 3: Cross multiply
    204,023,019.75x = 442,685,193.38 × 442,685,193.38
  4. Step 4: Simplify right side
    204,023,019.75x = 195,970,180,433,461,152
  5. Step 5: Solve for x
    x = 195,970,180,433,461,152/204,023,019.75
  6. Step 6: Final answer
    x = 960,529,751.37

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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.