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Finding the Third Proportional to 99,201.50 and 149,028

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Solution

The third proportional to 99,201.50 and 149,028 is: 223,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,201.50 : 149,028 = 149,028 : x
  2. Step 2: Convert to fraction form
    99,201.50/149,028 = 149,028/x
  3. Step 3: Cross multiply
    99,201.50x = 149,028 × 149,028
  4. Step 4: Simplify right side
    99,201.50x = 22,209,344,784
  5. Step 5: Solve for x
    x = 22,209,344,784/99,201.50
  6. Step 6: Final answer
    x = 223,881.14

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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.