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Finding the Third Proportional to 46,215.50 and 94,621.50

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Solution

The third proportional to 46,215.50 and 94,621.50 is: 193,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,215.50 : 94,621.50 = 94,621.50 : x
  2. Step 2: Convert to fraction form
    46,215.50/94,621.50 = 94,621.50/x
  3. Step 3: Cross multiply
    46,215.50x = 94,621.50 × 94,621.50
  4. Step 4: Simplify right side
    46,215.50x = 8,953,228,262.25
  5. Step 5: Solve for x
    x = 8,953,228,262.25/46,215.50
  6. Step 6: Final answer
    x = 193,727.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.