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Finding the Third Proportional to 54,930,120 and 83,102,149

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Solution

The third proportional to 54,930,120 and 83,102,149 is: 125,722,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,930,120 : 83,102,149 = 83,102,149 : x
  2. Step 2: Convert to fraction form
    54,930,120/83,102,149 = 83,102,149/x
  3. Step 3: Cross multiply
    54,930,120x = 83,102,149 × 83,102,149
  4. Step 4: Simplify right side
    54,930,120x = 6,905,967,168,418,201
  5. Step 5: Solve for x
    x = 6,905,967,168,418,201/54,930,120
  6. Step 6: Final answer
    x = 125,722,775.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.