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Finding the Third Proportional to 100,590.75 and 217,515.75

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Solution

The third proportional to 100,590.75 and 217,515.75 is: 470,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,590.75 : 217,515.75 = 217,515.75 : x
  2. Step 2: Convert to fraction form
    100,590.75/217,515.75 = 217,515.75/x
  3. Step 3: Cross multiply
    100,590.75x = 217,515.75 × 217,515.75
  4. Step 4: Simplify right side
    100,590.75x = 47,313,101,498.06
  5. Step 5: Solve for x
    x = 47,313,101,498.06/100,590.75
  6. Step 6: Final answer
    x = 470,352.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.