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Finding the Third Proportional to 85,897.13 and 184,507.88

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Solution

The third proportional to 85,897.13 and 184,507.88 is: 396,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,897.13 : 184,507.88 = 184,507.88 : x
  2. Step 2: Convert to fraction form
    85,897.13/184,507.88 = 184,507.88/x
  3. Step 3: Cross multiply
    85,897.13x = 184,507.88 × 184,507.88
  4. Step 4: Simplify right side
    85,897.13x = 34,043,155,937.02
  5. Step 5: Solve for x
    x = 34,043,155,937.02/85,897.13
  6. Step 6: Final answer
    x = 396,324.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.