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Finding the Third Proportional to 64,229.63 and 91,297.13

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Solution

The third proportional to 64,229.63 and 91,297.13 is: 129,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,229.63 : 91,297.13 = 91,297.13 : x
  2. Step 2: Convert to fraction form
    64,229.63/91,297.13 = 91,297.13/x
  3. Step 3: Cross multiply
    64,229.63x = 91,297.13 × 91,297.13
  4. Step 4: Simplify right side
    64,229.63x = 8,335,165,033.27
  5. Step 5: Solve for x
    x = 8,335,165,033.27/64,229.63
  6. Step 6: Final answer
    x = 129,771.35

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.