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Finding the Third Proportional to 46,926 and 101,229

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Solution

The third proportional to 46,926 and 101,229 is: 218,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,926 : 101,229 = 101,229 : x
  2. Step 2: Convert to fraction form
    46,926/101,229 = 101,229/x
  3. Step 3: Cross multiply
    46,926x = 101,229 × 101,229
  4. Step 4: Simplify right side
    46,926x = 10,247,310,441
  5. Step 5: Solve for x
    x = 10,247,310,441/46,926
  6. Step 6: Final answer
    x = 218,371.70

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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.