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Finding the Third Proportional to 59,345,242 and 126,529,176

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Solution

The third proportional to 59,345,242 and 126,529,176 is: 269,771,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,345,242 : 126,529,176 = 126,529,176 : x
  2. Step 2: Convert to fraction form
    59,345,242/126,529,176 = 126,529,176/x
  3. Step 3: Cross multiply
    59,345,242x = 126,529,176 × 126,529,176
  4. Step 4: Simplify right side
    59,345,242x = 16,009,632,379,238,976
  5. Step 5: Solve for x
    x = 16,009,632,379,238,976/59,345,242
  6. Step 6: Final answer
    x = 269,771,119.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.