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Finding the Third Proportional to 96,321 and 205,995

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Solution

The third proportional to 96,321 and 205,995 is: 440,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,321 : 205,995 = 205,995 : x
  2. Step 2: Convert to fraction form
    96,321/205,995 = 205,995/x
  3. Step 3: Cross multiply
    96,321x = 205,995 × 205,995
  4. Step 4: Simplify right side
    96,321x = 42,433,940,025
  5. Step 5: Solve for x
    x = 42,433,940,025/96,321
  6. Step 6: Final answer
    x = 440,547.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.