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Finding the Third Proportional to 99,447.75 and 216,209.25

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Solution

The third proportional to 99,447.75 and 216,209.25 is: 470,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,447.75 : 216,209.25 = 216,209.25 : x
  2. Step 2: Convert to fraction form
    99,447.75/216,209.25 = 216,209.25/x
  3. Step 3: Cross multiply
    99,447.75x = 216,209.25 × 216,209.25
  4. Step 4: Simplify right side
    99,447.75x = 46,746,439,785.56
  5. Step 5: Solve for x
    x = 46,746,439,785.56/99,447.75
  6. Step 6: Final answer
    x = 470,060.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.