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Finding the Third Proportional to 103,610.25 and 228,996

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Solution

The third proportional to 103,610.25 and 228,996 is: 506,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,610.25 : 228,996 = 228,996 : x
  2. Step 2: Convert to fraction form
    103,610.25/228,996 = 228,996/x
  3. Step 3: Cross multiply
    103,610.25x = 228,996 × 228,996
  4. Step 4: Simplify right side
    103,610.25x = 52,439,168,016
  5. Step 5: Solve for x
    x = 52,439,168,016/103,610.25
  6. Step 6: Final answer
    x = 506,119.50

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.