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Finding the Third Proportional to 99,783.75 and 216,789.75

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Solution

The third proportional to 99,783.75 and 216,789.75 is: 470,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,783.75 : 216,789.75 = 216,789.75 : x
  2. Step 2: Convert to fraction form
    99,783.75/216,789.75 = 216,789.75/x
  3. Step 3: Cross multiply
    99,783.75x = 216,789.75 × 216,789.75
  4. Step 4: Simplify right side
    99,783.75x = 46,997,795,705.06
  5. Step 5: Solve for x
    x = 46,997,795,705.06/99,783.75
  6. Step 6: Final answer
    x = 470,996.49

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Why These Related Problems?

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