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Finding the Third Proportional to 47,401.88 and 109,459.69

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Solution

The third proportional to 47,401.88 and 109,459.69 is: 252,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,401.88 : 109,459.69 = 109,459.69 : x
  2. Step 2: Convert to fraction form
    47,401.88/109,459.69 = 109,459.69/x
  3. Step 3: Cross multiply
    47,401.88x = 109,459.69 × 109,459.69
  4. Step 4: Simplify right side
    47,401.88x = 11,981,423,187.60
  5. Step 5: Solve for x
    x = 11,981,423,187.60/47,401.88
  6. Step 6: Final answer
    x = 252,762.64

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.