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Finding the Third Proportional to 48,354.75 and 103,852.13

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Solution

The third proportional to 48,354.75 and 103,852.13 is: 223,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,354.75 : 103,852.13 = 103,852.13 : x
  2. Step 2: Convert to fraction form
    48,354.75/103,852.13 = 103,852.13/x
  3. Step 3: Cross multiply
    48,354.75x = 103,852.13 × 103,852.13
  4. Step 4: Simplify right side
    48,354.75x = 10,785,263,867.02
  5. Step 5: Solve for x
    x = 10,785,263,867.02/48,354.75
  6. Step 6: Final answer
    x = 223,044.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.