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Finding the Third Proportional to 104,005 and 223,569.50

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Solution

The third proportional to 104,005 and 223,569.50 is: 480,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,005 : 223,569.50 = 223,569.50 : x
  2. Step 2: Convert to fraction form
    104,005/223,569.50 = 223,569.50/x
  3. Step 3: Cross multiply
    104,005x = 223,569.50 × 223,569.50
  4. Step 4: Simplify right side
    104,005x = 49,983,321,330.25
  5. Step 5: Solve for x
    x = 49,983,321,330.25/104,005
  6. Step 6: Final answer
    x = 480,585.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.