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Finding the Third Proportional to 50,296,516,245 and 102,070,969,911

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Solution

The third proportional to 50,296,516,245 and 102,070,969,911 is: 207,141,243,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296,516,245 : 102,070,969,911 = 102,070,969,911 : x
  2. Step 2: Convert to fraction form
    50,296,516,245/102,070,969,911 = 102,070,969,911/x
  3. Step 3: Cross multiply
    50,296,516,245x = 102,070,969,911 × 102,070,969,911
  4. Step 4: Simplify right side
    50,296,516,245x = 10,418,482,898,572,268,273,664
  5. Step 5: Solve for x
    x = 10,418,482,898,572,268,273,664/50,296,516,245
  6. Step 6: Final answer
    x = 207,141,243,099.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.