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Finding the Third Proportional to 64,416.38 and 96,328.41

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Solution

The third proportional to 64,416.38 and 96,328.41 is: 144,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,416.38 : 96,328.41 = 96,328.41 : x
  2. Step 2: Convert to fraction form
    64,416.38/96,328.41 = 96,328.41/x
  3. Step 3: Cross multiply
    64,416.38x = 96,328.41 × 96,328.41
  4. Step 4: Simplify right side
    64,416.38x = 9,279,161,850.67
  5. Step 5: Solve for x
    x = 9,279,161,850.67/64,416.38
  6. Step 6: Final answer
    x = 144,049.74

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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.