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Finding the Third Proportional to 96,098.25 and 210,296.25

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Solution

The third proportional to 96,098.25 and 210,296.25 is: 460,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,098.25 : 210,296.25 = 210,296.25 : x
  2. Step 2: Convert to fraction form
    96,098.25/210,296.25 = 210,296.25/x
  3. Step 3: Cross multiply
    96,098.25x = 210,296.25 × 210,296.25
  4. Step 4: Simplify right side
    96,098.25x = 44,224,512,764.06
  5. Step 5: Solve for x
    x = 44,224,512,764.06/96,098.25
  6. Step 6: Final answer
    x = 460,201.02

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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.