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Finding the Third Proportional to 99,732.38 and 149,673.38

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Solution

The third proportional to 99,732.38 and 149,673.38 is: 224,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,732.38 : 149,673.38 = 149,673.38 : x
  2. Step 2: Convert to fraction form
    99,732.38/149,673.38 = 149,673.38/x
  3. Step 3: Cross multiply
    99,732.38x = 149,673.38 × 149,673.38
  4. Step 4: Simplify right side
    99,732.38x = 22,402,119,183.89
  5. Step 5: Solve for x
    x = 22,402,119,183.89/99,732.38
  6. Step 6: Final answer
    x = 224,622.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.