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Finding the Third Proportional to 123,040,838 and 179,890,004

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Solution

The third proportional to 123,040,838 and 179,890,004 is: 263,005,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040,838 : 179,890,004 = 179,890,004 : x
  2. Step 2: Convert to fraction form
    123,040,838/179,890,004 = 179,890,004/x
  3. Step 3: Cross multiply
    123,040,838x = 179,890,004 × 179,890,004
  4. Step 4: Simplify right side
    123,040,838x = 32,360,413,539,120,016
  5. Step 5: Solve for x
    x = 32,360,413,539,120,016/123,040,838
  6. Step 6: Final answer
    x = 263,005,470.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.