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Finding the Third Proportional to 106,425 and 228,994.50

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Solution

The third proportional to 106,425 and 228,994.50 is: 492,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,425 : 228,994.50 = 228,994.50 : x
  2. Step 2: Convert to fraction form
    106,425/228,994.50 = 228,994.50/x
  3. Step 3: Cross multiply
    106,425x = 228,994.50 × 228,994.50
  4. Step 4: Simplify right side
    106,425x = 52,438,481,030.25
  5. Step 5: Solve for x
    x = 52,438,481,030.25/106,425
  6. Step 6: Final answer
    x = 492,727.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.