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Finding the Third Proportional to 106,032.94 and 224,337.38

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Solution

The third proportional to 106,032.94 and 224,337.38 is: 474,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,032.94 : 224,337.38 = 224,337.38 : x
  2. Step 2: Convert to fraction form
    106,032.94/224,337.38 = 224,337.38/x
  3. Step 3: Cross multiply
    106,032.94x = 224,337.38 × 224,337.38
  4. Step 4: Simplify right side
    106,032.94x = 50,327,257,821.89
  5. Step 5: Solve for x
    x = 50,327,257,821.89/106,032.94
  6. Step 6: Final answer
    x = 474,637.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.