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Finding the Third Proportional to 383,368,467 and 548,221,126.50

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Solution

The third proportional to 383,368,467 and 548,221,126.50 is: 783,962,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,368,467 : 548,221,126.50 = 548,221,126.50 : x
  2. Step 2: Convert to fraction form
    383,368,467/548,221,126.50 = 548,221,126.50/x
  3. Step 3: Cross multiply
    383,368,467x = 548,221,126.50 × 548,221,126.50
  4. Step 4: Simplify right side
    383,368,467x = 300,546,403,540,929,024
  5. Step 5: Solve for x
    x = 300,546,403,540,929,024/383,368,467
  6. Step 6: Final answer
    x = 783,962,243.67

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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.