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Finding the Third Proportional to 106,737.75 and 229,969.13

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Solution

The third proportional to 106,737.75 and 229,969.13 is: 495,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,737.75 : 229,969.13 = 229,969.13 : x
  2. Step 2: Convert to fraction form
    106,737.75/229,969.13 = 229,969.13/x
  3. Step 3: Cross multiply
    106,737.75x = 229,969.13 × 229,969.13
  4. Step 4: Simplify right side
    106,737.75x = 52,885,798,453.27
  5. Step 5: Solve for x
    x = 52,885,798,453.27/106,737.75
  6. Step 6: Final answer
    x = 495,474.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.