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Finding the Third Proportional to 239,806,508 and 498,463,012

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Solution

The third proportional to 239,806,508 and 498,463,012 is: 1,036,107,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,806,508 : 498,463,012 = 498,463,012 : x
  2. Step 2: Convert to fraction form
    239,806,508/498,463,012 = 498,463,012/x
  3. Step 3: Cross multiply
    239,806,508x = 498,463,012 × 498,463,012
  4. Step 4: Simplify right side
    239,806,508x = 248,465,374,332,112,128
  5. Step 5: Solve for x
    x = 248,465,374,332,112,128/239,806,508
  6. Step 6: Final answer
    x = 1,036,107,720.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.