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Finding the Third Proportional to 99,174.38 and 148,974.19

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Solution

The third proportional to 99,174.38 and 148,974.19 is: 223,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,174.38 : 148,974.19 = 148,974.19 : x
  2. Step 2: Convert to fraction form
    99,174.38/148,974.19 = 148,974.19/x
  3. Step 3: Cross multiply
    99,174.38x = 148,974.19 × 148,974.19
  4. Step 4: Simplify right side
    99,174.38x = 22,193,308,541.29
  5. Step 5: Solve for x
    x = 22,193,308,541.29/99,174.38
  6. Step 6: Final answer
    x = 223,780.67

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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.