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Finding the Third Proportional to 98,619.19 and 213,004.69

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Solution

The third proportional to 98,619.19 and 213,004.69 is: 460,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,619.19 : 213,004.69 = 213,004.69 : x
  2. Step 2: Convert to fraction form
    98,619.19/213,004.69 = 213,004.69/x
  3. Step 3: Cross multiply
    98,619.19x = 213,004.69 × 213,004.69
  4. Step 4: Simplify right side
    98,619.19x = 45,370,996,896.97
  5. Step 5: Solve for x
    x = 45,370,996,896.97/98,619.19
  6. Step 6: Final answer
    x = 460,062.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.