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Finding the Third Proportional to 50,898.38 and 106,444.13

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Solution

The third proportional to 50,898.38 and 106,444.13 is: 222,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,898.38 : 106,444.13 = 106,444.13 : x
  2. Step 2: Convert to fraction form
    50,898.38/106,444.13 = 106,444.13/x
  3. Step 3: Cross multiply
    50,898.38x = 106,444.13 × 106,444.13
  4. Step 4: Simplify right side
    50,898.38x = 11,330,351,747.02
  5. Step 5: Solve for x
    x = 11,330,351,747.02/50,898.38
  6. Step 6: Final answer
    x = 222,607.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.