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Finding the Third Proportional to 95,994.75 and 213,295.50

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Solution

The third proportional to 95,994.75 and 213,295.50 is: 473,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,994.75 : 213,295.50 = 213,295.50 : x
  2. Step 2: Convert to fraction form
    95,994.75/213,295.50 = 213,295.50/x
  3. Step 3: Cross multiply
    95,994.75x = 213,295.50 × 213,295.50
  4. Step 4: Simplify right side
    95,994.75x = 45,494,970,320.25
  5. Step 5: Solve for x
    x = 45,494,970,320.25/95,994.75
  6. Step 6: Final answer
    x = 473,931.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.