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Finding the Third Proportional to 89,216.44 and 138,300.75

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Solution

The third proportional to 89,216.44 and 138,300.75 is: 214,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,216.44 : 138,300.75 = 138,300.75 : x
  2. Step 2: Convert to fraction form
    89,216.44/138,300.75 = 138,300.75/x
  3. Step 3: Cross multiply
    89,216.44x = 138,300.75 × 138,300.75
  4. Step 4: Simplify right side
    89,216.44x = 19,127,097,450.56
  5. Step 5: Solve for x
    x = 19,127,097,450.56/89,216.44
  6. Step 6: Final answer
    x = 214,389.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.