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Finding the Third Proportional to 108,225 and 147,433.50

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Solution

The third proportional to 108,225 and 147,433.50 is: 200,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,225 : 147,433.50 = 147,433.50 : x
  2. Step 2: Convert to fraction form
    108,225/147,433.50 = 147,433.50/x
  3. Step 3: Cross multiply
    108,225x = 147,433.50 × 147,433.50
  4. Step 4: Simplify right side
    108,225x = 21,736,636,922.25
  5. Step 5: Solve for x
    x = 21,736,636,922.25/108,225
  6. Step 6: Final answer
    x = 200,846.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.