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Finding the Third Proportional to 64,200.41 and 150,928.63

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Solution

The third proportional to 64,200.41 and 150,928.63 is: 354,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,200.41 : 150,928.63 = 150,928.63 : x
  2. Step 2: Convert to fraction form
    64,200.41/150,928.63 = 150,928.63/x
  3. Step 3: Cross multiply
    64,200.41x = 150,928.63 × 150,928.63
  4. Step 4: Simplify right side
    64,200.41x = 22,779,451,023.52
  5. Step 5: Solve for x
    x = 22,779,451,023.52/64,200.41
  6. Step 6: Final answer
    x = 354,817.84

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.