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Finding the Third Proportional to 96,081.75 and 204,637.50

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Solution

The third proportional to 96,081.75 and 204,637.50 is: 435,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,081.75 : 204,637.50 = 204,637.50 : x
  2. Step 2: Convert to fraction form
    96,081.75/204,637.50 = 204,637.50/x
  3. Step 3: Cross multiply
    96,081.75x = 204,637.50 × 204,637.50
  4. Step 4: Simplify right side
    96,081.75x = 41,876,506,406.25
  5. Step 5: Solve for x
    x = 41,876,506,406.25/96,081.75
  6. Step 6: Final answer
    x = 435,842.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.