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Finding the Third Proportional to 104,127.75 and 223,321.50

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Solution

The third proportional to 104,127.75 and 223,321.50 is: 478,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,127.75 : 223,321.50 = 223,321.50 : x
  2. Step 2: Convert to fraction form
    104,127.75/223,321.50 = 223,321.50/x
  3. Step 3: Cross multiply
    104,127.75x = 223,321.50 × 223,321.50
  4. Step 4: Simplify right side
    104,127.75x = 49,872,492,362.25
  5. Step 5: Solve for x
    x = 49,872,492,362.25/104,127.75
  6. Step 6: Final answer
    x = 478,954.86

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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.