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Finding the Third Proportional to 201,781.13 and 442,923.19

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Solution

The third proportional to 201,781.13 and 442,923.19 is: 972,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,781.13 : 442,923.19 = 442,923.19 : x
  2. Step 2: Convert to fraction form
    201,781.13/442,923.19 = 442,923.19/x
  3. Step 3: Cross multiply
    201,781.13x = 442,923.19 × 442,923.19
  4. Step 4: Simplify right side
    201,781.13x = 196,180,950,025.16
  5. Step 5: Solve for x
    x = 196,180,950,025.16/201,781.13
  6. Step 6: Final answer
    x = 972,246.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.