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Finding the Third Proportional to 189,388.13 and 405,043.88

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Solution

The third proportional to 189,388.13 and 405,043.88 is: 866,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,388.13 : 405,043.88 = 405,043.88 : x
  2. Step 2: Convert to fraction form
    189,388.13/405,043.88 = 405,043.88/x
  3. Step 3: Cross multiply
    189,388.13x = 405,043.88 × 405,043.88
  4. Step 4: Simplify right side
    189,388.13x = 164,060,540,675.02
  5. Step 5: Solve for x
    x = 164,060,540,675.02/189,388.13
  6. Step 6: Final answer
    x = 866,266.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.