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Finding the Third Proportional to 146,467,873.50 and 313,321,048.50

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Solution

The third proportional to 146,467,873.50 and 313,321,048.50 is: 670,249,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,467,873.50 : 313,321,048.50 = 313,321,048.50 : x
  2. Step 2: Convert to fraction form
    146,467,873.50/313,321,048.50 = 313,321,048.50/x
  3. Step 3: Cross multiply
    146,467,873.50x = 313,321,048.50 × 313,321,048.50
  4. Step 4: Simplify right side
    146,467,873.50x = 98,170,079,433,139,360
  5. Step 5: Solve for x
    x = 98,170,079,433,139,360/146,467,873.50
  6. Step 6: Final answer
    x = 670,249,912.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.