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Finding the Third Proportional to 69,915,494.25 and 105,844,917.38

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Solution

The third proportional to 69,915,494.25 and 105,844,917.38 is: 160,238,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915,494.25 : 105,844,917.38 = 105,844,917.38 : x
  2. Step 2: Convert to fraction form
    69,915,494.25/105,844,917.38 = 105,844,917.38/x
  3. Step 3: Cross multiply
    69,915,494.25x = 105,844,917.38 × 105,844,917.38
  4. Step 4: Simplify right side
    69,915,494.25x = 11,203,146,534,120,576
  5. Step 5: Solve for x
    x = 11,203,146,534,120,576/69,915,494.25
  6. Step 6: Final answer
    x = 160,238,394.28

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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.