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Finding the Third Proportional to 100,272.94 and 150,430.92

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Solution

The third proportional to 100,272.94 and 150,430.92 is: 225,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272.94 : 150,430.92 = 150,430.92 : x
  2. Step 2: Convert to fraction form
    100,272.94/150,430.92 = 150,430.92/x
  3. Step 3: Cross multiply
    100,272.94x = 150,430.92 × 150,430.92
  4. Step 4: Simplify right side
    100,272.94x = 22,629,462,256.16
  5. Step 5: Solve for x
    x = 22,629,462,256.16/100,272.94
  6. Step 6: Final answer
    x = 225,678.66

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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.