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Finding the Third Proportional to 111,694,145,103 and 156,728,996,523

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Solution

The third proportional to 111,694,145,103 and 156,728,996,523 is: 219,921,808,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,694,145,103 : 156,728,996,523 = 156,728,996,523 : x
  2. Step 2: Convert to fraction form
    111,694,145,103/156,728,996,523 = 156,728,996,523/x
  3. Step 3: Cross multiply
    111,694,145,103x = 156,728,996,523 × 156,728,996,523
  4. Step 4: Simplify right side
    111,694,145,103x = 24,563,978,351,106,546,728,960
  5. Step 5: Solve for x
    x = 24,563,978,351,106,546,728,960/111,694,145,103
  6. Step 6: Final answer
    x = 219,921,808,152.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.