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Finding the Third Proportional to 69,416,014.50 and 101,568,764.25

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Solution

The third proportional to 69,416,014.50 and 101,568,764.25 is: 148,614,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,416,014.50 : 101,568,764.25 = 101,568,764.25 : x
  2. Step 2: Convert to fraction form
    69,416,014.50/101,568,764.25 = 101,568,764.25/x
  3. Step 3: Cross multiply
    69,416,014.50x = 101,568,764.25 × 101,568,764.25
  4. Step 4: Simplify right side
    69,416,014.50x = 10,316,213,871,272,078
  5. Step 5: Solve for x
    x = 10,316,213,871,272,078/69,416,014.50
  6. Step 6: Final answer
    x = 148,614,321.14

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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.