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Finding the Third Proportional to 106,033.50 and 228,673.50

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Solution

The third proportional to 106,033.50 and 228,673.50 is: 493,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,033.50 : 228,673.50 = 228,673.50 : x
  2. Step 2: Convert to fraction form
    106,033.50/228,673.50 = 228,673.50/x
  3. Step 3: Cross multiply
    106,033.50x = 228,673.50 × 228,673.50
  4. Step 4: Simplify right side
    106,033.50x = 52,291,569,602.25
  5. Step 5: Solve for x
    x = 52,291,569,602.25/106,033.50
  6. Step 6: Final answer
    x = 493,160.84

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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.