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Finding the Third Proportional to 106,694 and 229,928

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Solution

The third proportional to 106,694 and 229,928 is: 495,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,694 : 229,928 = 229,928 : x
  2. Step 2: Convert to fraction form
    106,694/229,928 = 229,928/x
  3. Step 3: Cross multiply
    106,694x = 229,928 × 229,928
  4. Step 4: Simplify right side
    106,694x = 52,866,885,184
  5. Step 5: Solve for x
    x = 52,866,885,184/106,694
  6. Step 6: Final answer
    x = 495,500.08

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Why These Related Problems?

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