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Finding the Third Proportional to 103,656.38 and 217,758.38

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Solution

The third proportional to 103,656.38 and 217,758.38 is: 457,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,656.38 : 217,758.38 = 217,758.38 : x
  2. Step 2: Convert to fraction form
    103,656.38/217,758.38 = 217,758.38/x
  3. Step 3: Cross multiply
    103,656.38x = 217,758.38 × 217,758.38
  4. Step 4: Simplify right side
    103,656.38x = 47,418,709,882.64
  5. Step 5: Solve for x
    x = 47,418,709,882.64/103,656.38
  6. Step 6: Final answer
    x = 457,460.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.