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Finding the Third Proportional to 111,187,345,517 and 156,576,283,709

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Solution

The third proportional to 111,187,345,517 and 156,576,283,709 is: 220,493,910,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,187,345,517 : 156,576,283,709 = 156,576,283,709 : x
  2. Step 2: Convert to fraction form
    111,187,345,517/156,576,283,709 = 156,576,283,709/x
  3. Step 3: Cross multiply
    111,187,345,517x = 156,576,283,709 × 156,576,283,709
  4. Step 4: Simplify right side
    111,187,345,517x = 24,516,132,620,121,258,590,208
  5. Step 5: Solve for x
    x = 24,516,132,620,121,258,590,208/111,187,345,517
  6. Step 6: Final answer
    x = 220,493,910,580.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.