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Finding the Third Proportional to 98,523 and 204,052.50

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Solution

The third proportional to 98,523 and 204,052.50 is: 422,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523 : 204,052.50 = 204,052.50 : x
  2. Step 2: Convert to fraction form
    98,523/204,052.50 = 204,052.50/x
  3. Step 3: Cross multiply
    98,523x = 204,052.50 × 204,052.50
  4. Step 4: Simplify right side
    98,523x = 41,637,422,756.25
  5. Step 5: Solve for x
    x = 41,637,422,756.25/98,523
  6. Step 6: Final answer
    x = 422,616.27

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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.