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Finding the Third Proportional to 204,023,026 and 442,685,207

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Solution

The third proportional to 204,023,026 and 442,685,207 is: 960,529,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,026 : 442,685,207 = 442,685,207 : x
  2. Step 2: Convert to fraction form
    204,023,026/442,685,207 = 442,685,207/x
  3. Step 3: Cross multiply
    204,023,026x = 442,685,207 × 442,685,207
  4. Step 4: Simplify right side
    204,023,026x = 195,970,192,496,632,864
  5. Step 5: Solve for x
    x = 195,970,192,496,632,864/204,023,026
  6. Step 6: Final answer
    x = 960,529,781.07

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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.