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Finding the Third Proportional to 99,780.75 and 149,277.75

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Solution

The third proportional to 99,780.75 and 149,277.75 is: 223,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780.75 : 149,277.75 = 149,277.75 : x
  2. Step 2: Convert to fraction form
    99,780.75/149,277.75 = 149,277.75/x
  3. Step 3: Cross multiply
    99,780.75x = 149,277.75 × 149,277.75
  4. Step 4: Simplify right side
    99,780.75x = 22,283,846,645.06
  5. Step 5: Solve for x
    x = 22,283,846,645.06/99,780.75
  6. Step 6: Final answer
    x = 223,328.11

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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.