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Finding the Third Proportional to 204,023,005 and 442,685,165

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Solution

The third proportional to 204,023,005 and 442,685,165 is: 960,529,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,005 : 442,685,165 = 442,685,165 : x
  2. Step 2: Convert to fraction form
    204,023,005/442,685,165 = 442,685,165/x
  3. Step 3: Cross multiply
    204,023,005x = 442,685,165 × 442,685,165
  4. Step 4: Simplify right side
    204,023,005x = 195,970,155,311,077,216
  5. Step 5: Solve for x
    x = 195,970,155,311,077,216/204,023,005
  6. Step 6: Final answer
    x = 960,529,697.67

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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.