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Finding the Third Proportional to 39,238,285 and 91,649,176

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Solution

The third proportional to 39,238,285 and 91,649,176 is: 214,065,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,238,285 : 91,649,176 = 91,649,176 : x
  2. Step 2: Convert to fraction form
    39,238,285/91,649,176 = 91,649,176/x
  3. Step 3: Cross multiply
    39,238,285x = 91,649,176 × 91,649,176
  4. Step 4: Simplify right side
    39,238,285x = 8,399,571,461,478,976
  5. Step 5: Solve for x
    x = 8,399,571,461,478,976/39,238,285
  6. Step 6: Final answer
    x = 214,065,713.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.