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Finding the Third Proportional to 103,200.19 and 217,590.75

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Solution

The third proportional to 103,200.19 and 217,590.75 is: 458,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,200.19 : 217,590.75 = 217,590.75 : x
  2. Step 2: Convert to fraction form
    103,200.19/217,590.75 = 217,590.75/x
  3. Step 3: Cross multiply
    103,200.19x = 217,590.75 × 217,590.75
  4. Step 4: Simplify right side
    103,200.19x = 47,345,734,485.56
  5. Step 5: Solve for x
    x = 47,345,734,485.56/103,200.19
  6. Step 6: Final answer
    x = 458,775.66

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.