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Finding the Third Proportional to 189,469.13 and 286,167.09

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Solution

The third proportional to 189,469.13 and 286,167.09 is: 432,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,469.13 : 286,167.09 = 286,167.09 : x
  2. Step 2: Convert to fraction form
    189,469.13/286,167.09 = 286,167.09/x
  3. Step 3: Cross multiply
    189,469.13x = 286,167.09 × 286,167.09
  4. Step 4: Simplify right side
    189,469.13x = 81,891,605,545.32
  5. Step 5: Solve for x
    x = 81,891,605,545.32/189,469.13
  6. Step 6: Final answer
    x = 432,216.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.