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Finding the Third Proportional to 69,896,524.50 and 109,408,050.75

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Solution

The third proportional to 69,896,524.50 and 109,408,050.75 is: 171,254,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,896,524.50 : 109,408,050.75 = 109,408,050.75 : x
  2. Step 2: Convert to fraction form
    69,896,524.50/109,408,050.75 = 109,408,050.75/x
  3. Step 3: Cross multiply
    69,896,524.50x = 109,408,050.75 × 109,408,050.75
  4. Step 4: Simplify right side
    69,896,524.50x = 11,970,121,568,914,576
  5. Step 5: Solve for x
    x = 11,970,121,568,914,576/69,896,524.50
  6. Step 6: Final answer
    x = 171,254,889.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.