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Finding the Third Proportional to 106,747 and 229,988

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Solution

The third proportional to 106,747 and 229,988 is: 495,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,747 : 229,988 = 229,988 : x
  2. Step 2: Convert to fraction form
    106,747/229,988 = 229,988/x
  3. Step 3: Cross multiply
    106,747x = 229,988 × 229,988
  4. Step 4: Simplify right side
    106,747x = 52,894,480,144
  5. Step 5: Solve for x
    x = 52,894,480,144/106,747
  6. Step 6: Final answer
    x = 495,512.57

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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.