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Finding the Third Proportional to 103,901.06 and 223,692.47

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Solution

The third proportional to 103,901.06 and 223,692.47 is: 481,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,901.06 : 223,692.47 = 223,692.47 : x
  2. Step 2: Convert to fraction form
    103,901.06/223,692.47 = 223,692.47/x
  3. Step 3: Cross multiply
    103,901.06x = 223,692.47 × 223,692.47
  4. Step 4: Simplify right side
    103,901.06x = 50,038,320,575.47
  5. Step 5: Solve for x
    x = 50,038,320,575.47/103,901.06
  6. Step 6: Final answer
    x = 481,595.85

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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.