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Finding the Third Proportional to 100,525.13 and 216,495.75

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Solution

The third proportional to 100,525.13 and 216,495.75 is: 466,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,525.13 : 216,495.75 = 216,495.75 : x
  2. Step 2: Convert to fraction form
    100,525.13/216,495.75 = 216,495.75/x
  3. Step 3: Cross multiply
    100,525.13x = 216,495.75 × 216,495.75
  4. Step 4: Simplify right side
    100,525.13x = 46,870,409,768.06
  5. Step 5: Solve for x
    x = 46,870,409,768.06/100,525.13
  6. Step 6: Final answer
    x = 466,255.67

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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.