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Finding the Third Proportional to 146,467,873 and 313,321,046

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Solution

The third proportional to 146,467,873 and 313,321,046 is: 670,249,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,467,873 : 313,321,046 = 313,321,046 : x
  2. Step 2: Convert to fraction form
    146,467,873/313,321,046 = 313,321,046/x
  3. Step 3: Cross multiply
    146,467,873x = 313,321,046 × 313,321,046
  4. Step 4: Simplify right side
    146,467,873x = 98,170,077,866,534,112
  5. Step 5: Solve for x
    x = 98,170,077,866,534,112/146,467,873
  6. Step 6: Final answer
    x = 670,249,904.34

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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.