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Finding the Third Proportional to 99,023.77 and 149,009.63

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Solution

The third proportional to 99,023.77 and 149,009.63 is: 224,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,023.77 : 149,009.63 = 149,009.63 : x
  2. Step 2: Convert to fraction form
    99,023.77/149,009.63 = 149,009.63/x
  3. Step 3: Cross multiply
    99,023.77x = 149,009.63 × 149,009.63
  4. Step 4: Simplify right side
    99,023.77x = 22,203,868,342.64
  5. Step 5: Solve for x
    x = 22,203,868,342.64/99,023.77
  6. Step 6: Final answer
    x = 224,227.67

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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.