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Finding the Third Proportional to 84,412.13 and 184,507.88

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Solution

The third proportional to 84,412.13 and 184,507.88 is: 403,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,412.13 : 184,507.88 = 184,507.88 : x
  2. Step 2: Convert to fraction form
    84,412.13/184,507.88 = 184,507.88/x
  3. Step 3: Cross multiply
    84,412.13x = 184,507.88 × 184,507.88
  4. Step 4: Simplify right side
    84,412.13x = 34,043,155,937.02
  5. Step 5: Solve for x
    x = 34,043,155,937.02/84,412.13
  6. Step 6: Final answer
    x = 403,296.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.