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Finding the Third Proportional to 101,930.63 and 216,983.25

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Solution

The third proportional to 101,930.63 and 216,983.25 is: 461,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,930.63 : 216,983.25 = 216,983.25 : x
  2. Step 2: Convert to fraction form
    101,930.63/216,983.25 = 216,983.25/x
  3. Step 3: Cross multiply
    101,930.63x = 216,983.25 × 216,983.25
  4. Step 4: Simplify right side
    101,930.63x = 47,081,730,780.56
  5. Step 5: Solve for x
    x = 47,081,730,780.56/101,930.63
  6. Step 6: Final answer
    x = 461,899.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.