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Finding the Third Proportional to 96,926 and 205,360

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Solution

The third proportional to 96,926 and 205,360 is: 435,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,926 : 205,360 = 205,360 : x
  2. Step 2: Convert to fraction form
    96,926/205,360 = 205,360/x
  3. Step 3: Cross multiply
    96,926x = 205,360 × 205,360
  4. Step 4: Simplify right side
    96,926x = 42,172,729,600
  5. Step 5: Solve for x
    x = 42,172,729,600/96,926
  6. Step 6: Final answer
    x = 435,102.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.