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Finding the Third Proportional to 43,320 and 93,086.25

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Solution

The third proportional to 43,320 and 93,086.25 is: 200,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,320 : 93,086.25 = 93,086.25 : x
  2. Step 2: Convert to fraction form
    43,320/93,086.25 = 93,086.25/x
  3. Step 3: Cross multiply
    43,320x = 93,086.25 × 93,086.25
  4. Step 4: Simplify right side
    43,320x = 8,665,049,939.06
  5. Step 5: Solve for x
    x = 8,665,049,939.06/43,320
  6. Step 6: Final answer
    x = 200,024.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.