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Finding the Third Proportional to 58,203,923.50 and 126,741,422.50

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Solution

The third proportional to 58,203,923.50 and 126,741,422.50 is: 275,984,628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,203,923.50 : 126,741,422.50 = 126,741,422.50 : x
  2. Step 2: Convert to fraction form
    58,203,923.50/126,741,422.50 = 126,741,422.50/x
  3. Step 3: Cross multiply
    58,203,923.50x = 126,741,422.50 × 126,741,422.50
  4. Step 4: Simplify right side
    58,203,923.50x = 16,063,388,177,323,506
  5. Step 5: Solve for x
    x = 16,063,388,177,323,506/58,203,923.50
  6. Step 6: Final answer
    x = 275,984,628.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.