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Finding the Third Proportional to 99,746.44 and 149,277.94

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Solution

The third proportional to 99,746.44 and 149,277.94 is: 223,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,746.44 : 149,277.94 = 149,277.94 : x
  2. Step 2: Convert to fraction form
    99,746.44/149,277.94 = 149,277.94/x
  3. Step 3: Cross multiply
    99,746.44x = 149,277.94 × 149,277.94
  4. Step 4: Simplify right side
    99,746.44x = 22,283,902,624.25
  5. Step 5: Solve for x
    x = 22,283,902,624.25/99,746.44
  6. Step 6: Final answer
    x = 223,405.50

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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.