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Finding the Third Proportional to 204,023,038 and 442,685,231

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Solution

The third proportional to 204,023,038 and 442,685,231 is: 960,529,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,038 : 442,685,231 = 442,685,231 : x
  2. Step 2: Convert to fraction form
    204,023,038/442,685,231 = 442,685,231/x
  3. Step 3: Cross multiply
    204,023,038x = 442,685,231 × 442,685,231
  4. Step 4: Simplify right side
    204,023,038x = 195,970,213,745,523,360
  5. Step 5: Solve for x
    x = 195,970,213,745,523,360/204,023,038
  6. Step 6: Final answer
    x = 960,529,828.72

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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.