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Finding the Third Proportional to 106,044.38 and 155,502.56

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Solution

The third proportional to 106,044.38 and 155,502.56 is: 228,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,044.38 : 155,502.56 = 155,502.56 : x
  2. Step 2: Convert to fraction form
    106,044.38/155,502.56 = 155,502.56/x
  3. Step 3: Cross multiply
    106,044.38x = 155,502.56 × 155,502.56
  4. Step 4: Simplify right side
    106,044.38x = 24,181,046,944.07
  5. Step 5: Solve for x
    x = 24,181,046,944.07/106,044.38
  6. Step 6: Final answer
    x = 228,027.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.