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Finding the Third Proportional to 204,599,298 and 438,381,892

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Solution

The third proportional to 204,599,298 and 438,381,892 is: 939,292,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,599,298 : 438,381,892 = 438,381,892 : x
  2. Step 2: Convert to fraction form
    204,599,298/438,381,892 = 438,381,892/x
  3. Step 3: Cross multiply
    204,599,298x = 438,381,892 × 438,381,892
  4. Step 4: Simplify right side
    204,599,298x = 192,178,683,233,499,648
  5. Step 5: Solve for x
    x = 192,178,683,233,499,648/204,599,298
  6. Step 6: Final answer
    x = 939,292,974.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.