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Finding the Third Proportional to 180,379,134 and 386,267,408

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Solution

The third proportional to 180,379,134 and 386,267,408 is: 827,160,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,379,134 : 386,267,408 = 386,267,408 : x
  2. Step 2: Convert to fraction form
    180,379,134/386,267,408 = 386,267,408/x
  3. Step 3: Cross multiply
    180,379,134x = 386,267,408 × 386,267,408
  4. Step 4: Simplify right side
    180,379,134x = 149,202,510,483,038,464
  5. Step 5: Solve for x
    x = 149,202,510,483,038,464/180,379,134
  6. Step 6: Final answer
    x = 827,160,587.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.