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Finding the Third Proportional to 38,190.56 and 83,903.81

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Solution

The third proportional to 38,190.56 and 83,903.81 is: 184,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,190.56 : 83,903.81 = 83,903.81 : x
  2. Step 2: Convert to fraction form
    38,190.56/83,903.81 = 83,903.81/x
  3. Step 3: Cross multiply
    38,190.56x = 83,903.81 × 83,903.81
  4. Step 4: Simplify right side
    38,190.56x = 7,039,849,752.04
  5. Step 5: Solve for x
    x = 7,039,849,752.04/38,190.56
  6. Step 6: Final answer
    x = 184,334.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.