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Finding the Third Proportional to 49,215 and 106,209

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Solution

The third proportional to 49,215 and 106,209 is: 229,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,215 : 106,209 = 106,209 : x
  2. Step 2: Convert to fraction form
    49,215/106,209 = 106,209/x
  3. Step 3: Cross multiply
    49,215x = 106,209 × 106,209
  4. Step 4: Simplify right side
    49,215x = 11,280,351,681
  5. Step 5: Solve for x
    x = 11,280,351,681/49,215
  6. Step 6: Final answer
    x = 229,205.56

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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.