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Finding the Third Proportional to 95,985 and 209,466

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Solution

The third proportional to 95,985 and 209,466 is: 457,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,985 : 209,466 = 209,466 : x
  2. Step 2: Convert to fraction form
    95,985/209,466 = 209,466/x
  3. Step 3: Cross multiply
    95,985x = 209,466 × 209,466
  4. Step 4: Simplify right side
    95,985x = 43,876,005,156
  5. Step 5: Solve for x
    x = 43,876,005,156/95,985
  6. Step 6: Final answer
    x = 457,113.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.