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Finding the Third Proportional to 69,415,974.75 and 101,568,706.88

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Solution

The third proportional to 69,415,974.75 and 101,568,706.88 is: 148,614,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,415,974.75 : 101,568,706.88 = 101,568,706.88 : x
  2. Step 2: Convert to fraction form
    69,415,974.75/101,568,706.88 = 101,568,706.88/x
  3. Step 3: Cross multiply
    69,415,974.75x = 101,568,706.88 × 101,568,706.88
  4. Step 4: Simplify right side
    69,415,974.75x = 10,316,202,216,259,672
  5. Step 5: Solve for x
    x = 10,316,202,216,259,672/69,415,974.75
  6. Step 6: Final answer
    x = 148,614,238.34

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