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Finding the Third Proportional to 101,435.63 and 217,815.75

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Solution

The third proportional to 101,435.63 and 217,815.75 is: 467,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,435.63 : 217,815.75 = 217,815.75 : x
  2. Step 2: Convert to fraction form
    101,435.63/217,815.75 = 217,815.75/x
  3. Step 3: Cross multiply
    101,435.63x = 217,815.75 × 217,815.75
  4. Step 4: Simplify right side
    101,435.63x = 47,443,700,948.06
  5. Step 5: Solve for x
    x = 47,443,700,948.06/101,435.63
  6. Step 6: Final answer
    x = 467,722.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.