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Finding the Third Proportional to 204,023,165.45 and 442,685,486.36

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Solution

The third proportional to 204,023,165.45 and 442,685,486.36 is: 960,530,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,165.45 : 442,685,486.36 = 442,685,486.36 : x
  2. Step 2: Convert to fraction form
    204,023,165.45/442,685,486.36 = 442,685,486.36/x
  3. Step 3: Cross multiply
    204,023,165.45x = 442,685,486.36 × 442,685,486.36
  4. Step 4: Simplify right side
    204,023,165.45x = 195,970,439,829,761,280
  5. Step 5: Solve for x
    x = 195,970,439,829,761,280/204,023,165.45
  6. Step 6: Final answer
    x = 960,530,336.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.