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Finding the Third Proportional to 106,044.75 and 228,694.50

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Solution

The third proportional to 106,044.75 and 228,694.50 is: 493,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,044.75 : 228,694.50 = 228,694.50 : x
  2. Step 2: Convert to fraction form
    106,044.75/228,694.50 = 228,694.50/x
  3. Step 3: Cross multiply
    106,044.75x = 228,694.50 × 228,694.50
  4. Step 4: Simplify right side
    106,044.75x = 52,301,174,330.25
  5. Step 5: Solve for x
    x = 52,301,174,330.25/106,044.75
  6. Step 6: Final answer
    x = 493,199.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.