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Finding the Third Proportional to 104,004 and 222,709.50

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Solution

The third proportional to 104,004 and 222,709.50 is: 476,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,004 : 222,709.50 = 222,709.50 : x
  2. Step 2: Convert to fraction form
    104,004/222,709.50 = 222,709.50/x
  3. Step 3: Cross multiply
    104,004x = 222,709.50 × 222,709.50
  4. Step 4: Simplify right side
    104,004x = 49,599,521,390.25
  5. Step 5: Solve for x
    x = 49,599,521,390.25/104,004
  6. Step 6: Final answer
    x = 476,900.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.