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Finding the Third Proportional to 269,551,395 and 385,195,216.50

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Solution

The third proportional to 269,551,395 and 385,195,216.50 is: 550,452,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,551,395 : 385,195,216.50 = 385,195,216.50 : x
  2. Step 2: Convert to fraction form
    269,551,395/385,195,216.50 = 385,195,216.50/x
  3. Step 3: Cross multiply
    269,551,395x = 385,195,216.50 × 385,195,216.50
  4. Step 4: Simplify right side
    269,551,395x = 148,375,354,814,481,888
  5. Step 5: Solve for x
    x = 148,375,354,814,481,888/269,551,395
  6. Step 6: Final answer
    x = 550,452,928.71

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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.