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Finding the Third Proportional to 99,057.38 and 215,793

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Solution

The third proportional to 99,057.38 and 215,793 is: 470,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,057.38 : 215,793 = 215,793 : x
  2. Step 2: Convert to fraction form
    99,057.38/215,793 = 215,793/x
  3. Step 3: Cross multiply
    99,057.38x = 215,793 × 215,793
  4. Step 4: Simplify right side
    99,057.38x = 46,566,618,849
  5. Step 5: Solve for x
    x = 46,566,618,849/99,057.38
  6. Step 6: Final answer
    x = 470,097.44

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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.