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Finding the Third Proportional to 178,977,360 and 276,378,408

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Solution

The third proportional to 178,977,360 and 276,378,408 is: 426,785,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,977,360 : 276,378,408 = 276,378,408 : x
  2. Step 2: Convert to fraction form
    178,977,360/276,378,408 = 276,378,408/x
  3. Step 3: Cross multiply
    178,977,360x = 276,378,408 × 276,378,408
  4. Step 4: Simplify right side
    178,977,360x = 76,385,024,408,614,464
  5. Step 5: Solve for x
    x = 76,385,024,408,614,464/178,977,360
  6. Step 6: Final answer
    x = 426,785,960.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.