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Finding the Third Proportional to 96,549.50 and 201,927

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Solution

The third proportional to 96,549.50 and 201,927 is: 422,317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,549.50 : 201,927 = 201,927 : x
  2. Step 2: Convert to fraction form
    96,549.50/201,927 = 201,927/x
  3. Step 3: Cross multiply
    96,549.50x = 201,927 × 201,927
  4. Step 4: Simplify right side
    96,549.50x = 40,774,513,329
  5. Step 5: Solve for x
    x = 40,774,513,329/96,549.50
  6. Step 6: Final answer
    x = 422,317.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.