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Finding the Third Proportional to 189,383.06 and 405,032.91

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Solution

The third proportional to 189,383.06 and 405,032.91 is: 866,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,383.06 : 405,032.91 = 405,032.91 : x
  2. Step 2: Convert to fraction form
    189,383.06/405,032.91 = 405,032.91/x
  3. Step 3: Cross multiply
    189,383.06x = 405,032.91 × 405,032.91
  4. Step 4: Simplify right side
    189,383.06x = 164,051,655,145.32
  5. Step 5: Solve for x
    x = 164,051,655,145.32/189,383.06
  6. Step 6: Final answer
    x = 866,242.49

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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.