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Finding the Third Proportional to 135,931,256,676 and 213,236,028,117

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Solution

The third proportional to 135,931,256,676 and 213,236,028,117 is: 334,504,401,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,931,256,676 : 213,236,028,117 = 213,236,028,117 : x
  2. Step 2: Convert to fraction form
    135,931,256,676/213,236,028,117 = 213,236,028,117/x
  3. Step 3: Cross multiply
    135,931,256,676x = 213,236,028,117 × 213,236,028,117
  4. Step 4: Simplify right side
    135,931,256,676x = 45,469,603,687,114,012,098,560
  5. Step 5: Solve for x
    x = 45,469,603,687,114,012,098,560/135,931,256,676
  6. Step 6: Final answer
    x = 334,504,401,702.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.