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Finding the Third Proportional to 43,204.75 and 89,486.25

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Solution

The third proportional to 43,204.75 and 89,486.25 is: 185,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,204.75 : 89,486.25 = 89,486.25 : x
  2. Step 2: Convert to fraction form
    43,204.75/89,486.25 = 89,486.25/x
  3. Step 3: Cross multiply
    43,204.75x = 89,486.25 × 89,486.25
  4. Step 4: Simplify right side
    43,204.75x = 8,007,788,939.06
  5. Step 5: Solve for x
    x = 8,007,788,939.06/43,204.75
  6. Step 6: Final answer
    x = 185,345.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.