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Finding the Third Proportional to 98,880.75 and 215,794.13

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Solution

The third proportional to 98,880.75 and 215,794.13 is: 470,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,880.75 : 215,794.13 = 215,794.13 : x
  2. Step 2: Convert to fraction form
    98,880.75/215,794.13 = 215,794.13/x
  3. Step 3: Cross multiply
    98,880.75x = 215,794.13 × 215,794.13
  4. Step 4: Simplify right side
    98,880.75x = 46,567,104,384.52
  5. Step 5: Solve for x
    x = 46,567,104,384.52/98,880.75
  6. Step 6: Final answer
    x = 470,942.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.