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Finding the Third Proportional to 101,989.13 and 222,886.69

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Solution

The third proportional to 101,989.13 and 222,886.69 is: 487,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,989.13 : 222,886.69 = 222,886.69 : x
  2. Step 2: Convert to fraction form
    101,989.13/222,886.69 = 222,886.69/x
  3. Step 3: Cross multiply
    101,989.13x = 222,886.69 × 222,886.69
  4. Step 4: Simplify right side
    101,989.13x = 49,678,475,464.72
  5. Step 5: Solve for x
    x = 49,678,475,464.72/101,989.13
  6. Step 6: Final answer
    x = 487,095.81

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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.