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Finding the Third Proportional to 89,101.69 and 184,518.84

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Solution

The third proportional to 89,101.69 and 184,518.84 is: 382,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,101.69 : 184,518.84 = 184,518.84 : x
  2. Step 2: Convert to fraction form
    89,101.69/184,518.84 = 184,518.84/x
  3. Step 3: Cross multiply
    89,101.69x = 184,518.84 × 184,518.84
  4. Step 4: Simplify right side
    89,101.69x = 34,047,203,698.84
  5. Step 5: Solve for x
    x = 34,047,203,698.84/89,101.69
  6. Step 6: Final answer
    x = 382,116.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.