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Finding the Third Proportional to 269,048,698.50 and 384,740,097

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Solution

The third proportional to 269,048,698.50 and 384,740,097 is: 550,178,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,048,698.50 : 384,740,097 = 384,740,097 : x
  2. Step 2: Convert to fraction form
    269,048,698.50/384,740,097 = 384,740,097/x
  3. Step 3: Cross multiply
    269,048,698.50x = 384,740,097 × 384,740,097
  4. Step 4: Simplify right side
    269,048,698.50x = 148,024,942,239,569,408
  5. Step 5: Solve for x
    x = 148,024,942,239,569,408/269,048,698.50
  6. Step 6: Final answer
    x = 550,178,993.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.