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Finding the Third Proportional to 111,187,345,509 and 156,576,283,662

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Solution

The third proportional to 111,187,345,509 and 156,576,283,662 is: 220,493,910,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,187,345,509 : 156,576,283,662 = 156,576,283,662 : x
  2. Step 2: Convert to fraction form
    111,187,345,509/156,576,283,662 = 156,576,283,662/x
  3. Step 3: Cross multiply
    111,187,345,509x = 156,576,283,662 × 156,576,283,662
  4. Step 4: Simplify right side
    111,187,345,509x = 24,516,132,605,403,089,338,368
  5. Step 5: Solve for x
    x = 24,516,132,605,403,089,338,368/111,187,345,509
  6. Step 6: Final answer
    x = 220,493,910,464.11

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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.