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Finding the Third Proportional to 204,023,005 and 442,685,165.50

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Solution

The third proportional to 204,023,005 and 442,685,165.50 is: 960,529,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,005 : 442,685,165.50 = 442,685,165.50 : x
  2. Step 2: Convert to fraction form
    204,023,005/442,685,165.50 = 442,685,165.50/x
  3. Step 3: Cross multiply
    204,023,005x = 442,685,165.50 × 442,685,165.50
  4. Step 4: Simplify right side
    204,023,005x = 195,970,155,753,762,400
  5. Step 5: Solve for x
    x = 195,970,155,753,762,400/204,023,005
  6. Step 6: Final answer
    x = 960,529,699.84

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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.