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Finding the Third Proportional to 103,536.56 and 221,823.56

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Solution

The third proportional to 103,536.56 and 221,823.56 is: 475,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,536.56 : 221,823.56 = 221,823.56 : x
  2. Step 2: Convert to fraction form
    103,536.56/221,823.56 = 221,823.56/x
  3. Step 3: Cross multiply
    103,536.56x = 221,823.56 × 221,823.56
  4. Step 4: Simplify right side
    103,536.56x = 49,205,692,880.19
  5. Step 5: Solve for x
    x = 49,205,692,880.19/103,536.56
  6. Step 6: Final answer
    x = 475,249.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.