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Finding the Third Proportional to 99,741.38 and 149,267.81

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Solution

The third proportional to 99,741.38 and 149,267.81 is: 223,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,741.38 : 149,267.81 = 149,267.81 : x
  2. Step 2: Convert to fraction form
    99,741.38/149,267.81 = 149,267.81/x
  3. Step 3: Cross multiply
    99,741.38x = 149,267.81 × 149,267.81
  4. Step 4: Simplify right side
    99,741.38x = 22,280,879,848.54
  5. Step 5: Solve for x
    x = 22,280,879,848.54/99,741.38
  6. Step 6: Final answer
    x = 223,386.53

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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.