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Finding the Third Proportional to 98,143.88 and 214,980.75

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Solution

The third proportional to 98,143.88 and 214,980.75 is: 470,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,143.88 : 214,980.75 = 214,980.75 : x
  2. Step 2: Convert to fraction form
    98,143.88/214,980.75 = 214,980.75/x
  3. Step 3: Cross multiply
    98,143.88x = 214,980.75 × 214,980.75
  4. Step 4: Simplify right side
    98,143.88x = 46,216,722,870.56
  5. Step 5: Solve for x
    x = 46,216,722,870.56/98,143.88
  6. Step 6: Final answer
    x = 470,907.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.