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Finding the Third Proportional to 45,884.25 and 101,594.81

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Solution

The third proportional to 45,884.25 and 101,594.81 is: 224,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,884.25 : 101,594.81 = 101,594.81 : x
  2. Step 2: Convert to fraction form
    45,884.25/101,594.81 = 101,594.81/x
  3. Step 3: Cross multiply
    45,884.25x = 101,594.81 × 101,594.81
  4. Step 4: Simplify right side
    45,884.25x = 10,321,505,926.91
  5. Step 5: Solve for x
    x = 10,321,505,926.91/45,884.25
  6. Step 6: Final answer
    x = 224,946.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.