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Finding the Third Proportional to 84,028,580 and 182,398,120

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Solution

The third proportional to 84,028,580 and 182,398,120 is: 395,925,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,028,580 : 182,398,120 = 182,398,120 : x
  2. Step 2: Convert to fraction form
    84,028,580/182,398,120 = 182,398,120/x
  3. Step 3: Cross multiply
    84,028,580x = 182,398,120 × 182,398,120
  4. Step 4: Simplify right side
    84,028,580x = 33,269,074,179,534,400
  5. Step 5: Solve for x
    x = 33,269,074,179,534,400/84,028,580
  6. Step 6: Final answer
    x = 395,925,697.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.