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Finding the Third Proportional to 204,285,890 and 325,216,371

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Solution

The third proportional to 204,285,890 and 325,216,371 is: 517,733,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,285,890 : 325,216,371 = 325,216,371 : x
  2. Step 2: Convert to fraction form
    204,285,890/325,216,371 = 325,216,371/x
  3. Step 3: Cross multiply
    204,285,890x = 325,216,371 × 325,216,371
  4. Step 4: Simplify right side
    204,285,890x = 105,765,687,966,409,648
  5. Step 5: Solve for x
    x = 105,765,687,966,409,648/204,285,890
  6. Step 6: Final answer
    x = 517,733,691.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.