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Finding the Third Proportional to 76,982,996 and 159,422,798

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Solution

The third proportional to 76,982,996 and 159,422,798 is: 330,146,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,982,996 : 159,422,798 = 159,422,798 : x
  2. Step 2: Convert to fraction form
    76,982,996/159,422,798 = 159,422,798/x
  3. Step 3: Cross multiply
    76,982,996x = 159,422,798 × 159,422,798
  4. Step 4: Simplify right side
    76,982,996x = 25,415,628,522,148,804
  5. Step 5: Solve for x
    x = 25,415,628,522,148,804/76,982,996
  6. Step 6: Final answer
    x = 330,146,004.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.