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Finding the Third Proportional to 204,023,020 and 442,685,196

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Solution

The third proportional to 204,023,020 and 442,685,196 is: 960,529,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,020 : 442,685,196 = 442,685,196 : x
  2. Step 2: Convert to fraction form
    204,023,020/442,685,196 = 442,685,196/x
  3. Step 3: Cross multiply
    204,023,020x = 442,685,196 × 442,685,196
  4. Step 4: Simplify right side
    204,023,020x = 195,970,182,757,558,400
  5. Step 5: Solve for x
    x = 195,970,182,757,558,400/204,023,020
  6. Step 6: Final answer
    x = 960,529,761.58

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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.