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Finding the Third Proportional to 106,608 and 229,822.88

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Solution

The third proportional to 106,608 and 229,822.88 is: 495,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,608 : 229,822.88 = 229,822.88 : x
  2. Step 2: Convert to fraction form
    106,608/229,822.88 = 229,822.88/x
  3. Step 3: Cross multiply
    106,608x = 229,822.88 × 229,822.88
  4. Step 4: Simplify right side
    106,608x = 52,818,553,873.27
  5. Step 5: Solve for x
    x = 52,818,553,873.27/106,608
  6. Step 6: Final answer
    x = 495,446.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.