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Finding the Third Proportional to 138,633.75 and 200,296.13

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Solution

The third proportional to 138,633.75 and 200,296.13 is: 289,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,633.75 : 200,296.13 = 200,296.13 : x
  2. Step 2: Convert to fraction form
    138,633.75/200,296.13 = 200,296.13/x
  3. Step 3: Cross multiply
    138,633.75x = 200,296.13 × 200,296.13
  4. Step 4: Simplify right side
    138,633.75x = 40,118,537,690.02
  5. Step 5: Solve for x
    x = 40,118,537,690.02/138,633.75
  6. Step 6: Final answer
    x = 289,385.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.