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Finding the Third Proportional to 99,286.38 and 214,565.20

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Solution

The third proportional to 99,286.38 and 214,565.20 is: 463,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,286.38 : 214,565.20 = 214,565.20 : x
  2. Step 2: Convert to fraction form
    99,286.38/214,565.20 = 214,565.20/x
  3. Step 3: Cross multiply
    99,286.38x = 214,565.20 × 214,565.20
  4. Step 4: Simplify right side
    99,286.38x = 46,038,226,392.07
  5. Step 5: Solve for x
    x = 46,038,226,392.07/99,286.38
  6. Step 6: Final answer
    x = 463,691.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.