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Finding the Third Proportional to 106,043 and 228,690.50

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Solution

The third proportional to 106,043 and 228,690.50 is: 493,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,043 : 228,690.50 = 228,690.50 : x
  2. Step 2: Convert to fraction form
    106,043/228,690.50 = 228,690.50/x
  3. Step 3: Cross multiply
    106,043x = 228,690.50 × 228,690.50
  4. Step 4: Simplify right side
    106,043x = 52,299,344,790.25
  5. Step 5: Solve for x
    x = 52,299,344,790.25/106,043
  6. Step 6: Final answer
    x = 493,189.98

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Why These Related Problems?

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