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Finding the Third Proportional to 82,858,104 and 124,633,091

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Solution

The third proportional to 82,858,104 and 124,633,091 is: 187,469,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858,104 : 124,633,091 = 124,633,091 : x
  2. Step 2: Convert to fraction form
    82,858,104/124,633,091 = 124,633,091/x
  3. Step 3: Cross multiply
    82,858,104x = 124,633,091 × 124,633,091
  4. Step 4: Simplify right side
    82,858,104x = 15,533,407,372,214,280
  5. Step 5: Solve for x
    x = 15,533,407,372,214,280/82,858,104
  6. Step 6: Final answer
    x = 187,469,983.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.