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Finding the Third Proportional to 99,200.81 and 149,027.44

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Solution

The third proportional to 99,200.81 and 149,027.44 is: 223,881.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,200.81 : 149,027.44 = 149,027.44 : x
  2. Step 2: Convert to fraction form
    99,200.81/149,027.44 = 149,027.44/x
  3. Step 3: Cross multiply
    99,200.81x = 149,027.44 × 149,027.44
  4. Step 4: Simplify right side
    99,200.81x = 22,209,177,127.82
  5. Step 5: Solve for x
    x = 22,209,177,127.82/99,200.81
  6. Step 6: Final answer
    x = 223,881.00

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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.