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Finding the Third Proportional to 99,784.50 and 221,739.75

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Solution

The third proportional to 99,784.50 and 221,739.75 is: 492,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,784.50 : 221,739.75 = 221,739.75 : x
  2. Step 2: Convert to fraction form
    99,784.50/221,739.75 = 221,739.75/x
  3. Step 3: Cross multiply
    99,784.50x = 221,739.75 × 221,739.75
  4. Step 4: Simplify right side
    99,784.50x = 49,168,516,730.06
  5. Step 5: Solve for x
    x = 49,168,516,730.06/99,784.50
  6. Step 6: Final answer
    x = 492,747.04

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.