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Finding the Third Proportional to 64,007.44 and 92,200.78

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Solution

The third proportional to 64,007.44 and 92,200.78 is: 132,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,007.44 : 92,200.78 = 92,200.78 : x
  2. Step 2: Convert to fraction form
    64,007.44/92,200.78 = 92,200.78/x
  3. Step 3: Cross multiply
    64,007.44x = 92,200.78 × 92,200.78
  4. Step 4: Simplify right side
    64,007.44x = 8,500,984,063.11
  5. Step 5: Solve for x
    x = 8,500,984,063.11/64,007.44
  6. Step 6: Final answer
    x = 132,812.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.