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Finding the Third Proportional to 109,008.28 and 233,777.39

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Solution

The third proportional to 109,008.28 and 233,777.39 is: 501,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,008.28 : 233,777.39 = 233,777.39 : x
  2. Step 2: Convert to fraction form
    109,008.28/233,777.39 = 233,777.39/x
  3. Step 3: Cross multiply
    109,008.28x = 233,777.39 × 233,777.39
  4. Step 4: Simplify right side
    109,008.28x = 54,651,868,367.43
  5. Step 5: Solve for x
    x = 54,651,868,367.43/109,008.28
  6. Step 6: Final answer
    x = 501,355.20

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