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Finding the Third Proportional to 99,012.06 and 213,808.68

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Solution

The third proportional to 99,012.06 and 213,808.68 is: 461,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,012.06 : 213,808.68 = 213,808.68 : x
  2. Step 2: Convert to fraction form
    99,012.06/213,808.68 = 213,808.68/x
  3. Step 3: Cross multiply
    99,012.06x = 213,808.68 × 213,808.68
  4. Step 4: Simplify right side
    99,012.06x = 45,714,149,839.33
  5. Step 5: Solve for x
    x = 45,714,149,839.33/99,012.06
  6. Step 6: Final answer
    x = 461,702.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.