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Finding the Third Proportional to 196,572.45 and 429,947.37

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Solution

The third proportional to 196,572.45 and 429,947.37 is: 940,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,572.45 : 429,947.37 = 429,947.37 : x
  2. Step 2: Convert to fraction form
    196,572.45/429,947.37 = 429,947.37/x
  3. Step 3: Cross multiply
    196,572.45x = 429,947.37 × 429,947.37
  4. Step 4: Simplify right side
    196,572.45x = 184,854,738,551.46
  5. Step 5: Solve for x
    x = 184,854,738,551.46/196,572.45
  6. Step 6: Final answer
    x = 940,389.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.