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Finding the Third Proportional to 42,786.56 and 92,816.72

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Solution

The third proportional to 42,786.56 and 92,816.72 is: 201,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,786.56 : 92,816.72 = 92,816.72 : x
  2. Step 2: Convert to fraction form
    42,786.56/92,816.72 = 92,816.72/x
  3. Step 3: Cross multiply
    42,786.56x = 92,816.72 × 92,816.72
  4. Step 4: Simplify right side
    42,786.56x = 8,614,943,279.52
  5. Step 5: Solve for x
    x = 8,614,943,279.52/42,786.56
  6. Step 6: Final answer
    x = 201,346.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.