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Finding the Third Proportional to 100,884.50 and 221,361

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Solution

The third proportional to 100,884.50 and 221,361 is: 485,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,884.50 : 221,361 = 221,361 : x
  2. Step 2: Convert to fraction form
    100,884.50/221,361 = 221,361/x
  3. Step 3: Cross multiply
    100,884.50x = 221,361 × 221,361
  4. Step 4: Simplify right side
    100,884.50x = 49,000,692,321
  5. Step 5: Solve for x
    x = 49,000,692,321/100,884.50
  6. Step 6: Final answer
    x = 485,710.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.