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Finding the Third Proportional to 99,546.25 and 216,588.25

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Solution

The third proportional to 99,546.25 and 216,588.25 is: 471,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546.25 : 216,588.25 = 216,588.25 : x
  2. Step 2: Convert to fraction form
    99,546.25/216,588.25 = 216,588.25/x
  3. Step 3: Cross multiply
    99,546.25x = 216,588.25 × 216,588.25
  4. Step 4: Simplify right side
    99,546.25x = 46,910,470,038.06
  5. Step 5: Solve for x
    x = 46,910,470,038.06/99,546.25
  6. Step 6: Final answer
    x = 471,242.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.