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Finding the Third Proportional to 104,009 and 223,577.50

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Solution

The third proportional to 104,009 and 223,577.50 is: 480,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,009 : 223,577.50 = 223,577.50 : x
  2. Step 2: Convert to fraction form
    104,009/223,577.50 = 223,577.50/x
  3. Step 3: Cross multiply
    104,009x = 223,577.50 × 223,577.50
  4. Step 4: Simplify right side
    104,009x = 49,986,898,506.25
  5. Step 5: Solve for x
    x = 49,986,898,506.25/104,009
  6. Step 6: Final answer
    x = 480,601.66

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Why These Related Problems?

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