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Finding the Third Proportional to 100,383.50 and 147,224

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Solution

The third proportional to 100,383.50 and 147,224 is: 215,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,383.50 : 147,224 = 147,224 : x
  2. Step 2: Convert to fraction form
    100,383.50/147,224 = 147,224/x
  3. Step 3: Cross multiply
    100,383.50x = 147,224 × 147,224
  4. Step 4: Simplify right side
    100,383.50x = 21,674,906,176
  5. Step 5: Solve for x
    x = 21,674,906,176/100,383.50
  6. Step 6: Final answer
    x = 215,921.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.