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Finding the Third Proportional to 99,209.25 and 217,048.50

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Solution

The third proportional to 99,209.25 and 217,048.50 is: 474,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,209.25 : 217,048.50 = 217,048.50 : x
  2. Step 2: Convert to fraction form
    99,209.25/217,048.50 = 217,048.50/x
  3. Step 3: Cross multiply
    99,209.25x = 217,048.50 × 217,048.50
  4. Step 4: Simplify right side
    99,209.25x = 47,110,051,352.25
  5. Step 5: Solve for x
    x = 47,110,051,352.25/99,209.25
  6. Step 6: Final answer
    x = 474,855.43

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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.