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Finding the Third Proportional to 98,446.38 and 214,710.25

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Solution

The third proportional to 98,446.38 and 214,710.25 is: 468,280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,446.38 : 214,710.25 = 214,710.25 : x
  2. Step 2: Convert to fraction form
    98,446.38/214,710.25 = 214,710.25/x
  3. Step 3: Cross multiply
    98,446.38x = 214,710.25 × 214,710.25
  4. Step 4: Simplify right side
    98,446.38x = 46,100,491,455.06
  5. Step 5: Solve for x
    x = 46,100,491,455.06/98,446.38
  6. Step 6: Final answer
    x = 468,280.23

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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.