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Finding the Third Proportional to 95,666 and 210,196

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Solution

The third proportional to 95,666 and 210,196 is: 461,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,666 : 210,196 = 210,196 : x
  2. Step 2: Convert to fraction form
    95,666/210,196 = 210,196/x
  3. Step 3: Cross multiply
    95,666x = 210,196 × 210,196
  4. Step 4: Simplify right side
    95,666x = 44,182,358,416
  5. Step 5: Solve for x
    x = 44,182,358,416/95,666
  6. Step 6: Final answer
    x = 461,839.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.