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Finding the Third Proportional to 84,131.16 and 184,102.88

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Solution

The third proportional to 84,131.16 and 184,102.88 is: 402,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,131.16 : 184,102.88 = 184,102.88 : x
  2. Step 2: Convert to fraction form
    84,131.16/184,102.88 = 184,102.88/x
  3. Step 3: Cross multiply
    84,131.16x = 184,102.88 × 184,102.88
  4. Step 4: Simplify right side
    84,131.16x = 33,893,868,583.27
  5. Step 5: Solve for x
    x = 33,893,868,583.27/84,131.16
  6. Step 6: Final answer
    x = 402,869.40

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Why These Related Problems?

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