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Finding the Third Proportional to 90,001.13 and 193,033.13

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Solution

The third proportional to 90,001.13 and 193,033.13 is: 414,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,001.13 : 193,033.13 = 193,033.13 : x
  2. Step 2: Convert to fraction form
    90,001.13/193,033.13 = 193,033.13/x
  3. Step 3: Cross multiply
    90,001.13x = 193,033.13 × 193,033.13
  4. Step 4: Simplify right side
    90,001.13x = 37,261,787,347.27
  5. Step 5: Solve for x
    x = 37,261,787,347.27/90,001.13
  6. Step 6: Final answer
    x = 414,014.68

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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.