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Finding the Third Proportional to 84,267.84 and 184,630.64

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Solution

The third proportional to 84,267.84 and 184,630.64 is: 404,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,267.84 : 184,630.64 = 184,630.64 : x
  2. Step 2: Convert to fraction form
    84,267.84/184,630.64 = 184,630.64/x
  3. Step 3: Cross multiply
    84,267.84x = 184,630.64 × 184,630.64
  4. Step 4: Simplify right side
    84,267.84x = 34,088,473,457.60
  5. Step 5: Solve for x
    x = 34,088,473,457.60/84,267.84
  6. Step 6: Final answer
    x = 404,525.28

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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.