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Finding the Third Proportional to 54,930,130 and 83,102,166

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Solution

The third proportional to 54,930,130 and 83,102,166 is: 125,722,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,930,130 : 83,102,166 = 83,102,166 : x
  2. Step 2: Convert to fraction form
    54,930,130/83,102,166 = 83,102,166/x
  3. Step 3: Cross multiply
    54,930,130x = 83,102,166 × 83,102,166
  4. Step 4: Simplify right side
    54,930,130x = 6,905,969,993,891,556
  5. Step 5: Solve for x
    x = 6,905,969,993,891,556/54,930,130
  6. Step 6: Final answer
    x = 125,722,804.48

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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.