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Finding the Third Proportional to 96,896 and 205,537

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Solution

The third proportional to 96,896 and 205,537 is: 435,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,896 : 205,537 = 205,537 : x
  2. Step 2: Convert to fraction form
    96,896/205,537 = 205,537/x
  3. Step 3: Cross multiply
    96,896x = 205,537 × 205,537
  4. Step 4: Simplify right side
    96,896x = 42,245,458,369
  5. Step 5: Solve for x
    x = 42,245,458,369/96,896
  6. Step 6: Final answer
    x = 435,987.64

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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.