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Finding the Third Proportional to 98,668.13 and 217,015.88

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Solution

The third proportional to 98,668.13 and 217,015.88 is: 477,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,668.13 : 217,015.88 = 217,015.88 : x
  2. Step 2: Convert to fraction form
    98,668.13/217,015.88 = 217,015.88/x
  3. Step 3: Cross multiply
    98,668.13x = 217,015.88 × 217,015.88
  4. Step 4: Simplify right side
    98,668.13x = 47,095,890,002.02
  5. Step 5: Solve for x
    x = 47,095,890,002.02/98,668.13
  6. Step 6: Final answer
    x = 477,316.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.