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Finding the Third Proportional to 101,873 and 216,886

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Solution

The third proportional to 101,873 and 216,886 is: 461,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,873 : 216,886 = 216,886 : x
  2. Step 2: Convert to fraction form
    101,873/216,886 = 216,886/x
  3. Step 3: Cross multiply
    101,873x = 216,886 × 216,886
  4. Step 4: Simplify right side
    101,873x = 47,039,536,996
  5. Step 5: Solve for x
    x = 47,039,536,996/101,873
  6. Step 6: Final answer
    x = 461,746.85

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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.