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Finding the Third Proportional to 84,811,464.28 and 184,640,920.03

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Solution

The third proportional to 84,811,464.28 and 184,640,920.03 is: 401,977,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,811,464.28 : 184,640,920.03 = 184,640,920.03 : x
  2. Step 2: Convert to fraction form
    84,811,464.28/184,640,920.03 = 184,640,920.03/x
  3. Step 3: Cross multiply
    84,811,464.28x = 184,640,920.03 × 184,640,920.03
  4. Step 4: Simplify right side
    84,811,464.28x = 34,092,269,349,986,456
  5. Step 5: Solve for x
    x = 34,092,269,349,986,456/84,811,464.28
  6. Step 6: Final answer
    x = 401,977,134.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.