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Finding the Third Proportional to 198,112,640 and 269,031,936

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Solution

The third proportional to 198,112,640 and 269,031,936 is: 365,338,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,112,640 : 269,031,936 = 269,031,936 : x
  2. Step 2: Convert to fraction form
    198,112,640/269,031,936 = 269,031,936/x
  3. Step 3: Cross multiply
    198,112,640x = 269,031,936 × 269,031,936
  4. Step 4: Simplify right side
    198,112,640x = 72,378,182,587,908,096
  5. Step 5: Solve for x
    x = 72,378,182,587,908,096/198,112,640
  6. Step 6: Final answer
    x = 365,338,539.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.