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Finding the Third Proportional to 109,664.44 and 233,164.13

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Solution

The third proportional to 109,664.44 and 233,164.13 is: 495,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,664.44 : 233,164.13 = 233,164.13 : x
  2. Step 2: Convert to fraction form
    109,664.44/233,164.13 = 233,164.13/x
  3. Step 3: Cross multiply
    109,664.44x = 233,164.13 × 233,164.13
  4. Step 4: Simplify right side
    109,664.44x = 54,365,509,187.02
  5. Step 5: Solve for x
    x = 54,365,509,187.02/109,664.44
  6. Step 6: Final answer
    x = 495,744.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.